Harmonic Mappings, twistors, and o-models

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (916 download)

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Book Synopsis Harmonic Mappings, twistors, and o-models by :

Download or read book Harmonic Mappings, twistors, and o-models written by and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Harmonic Mappings, Twistors And Sigma Models

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Publisher : World Scientific
ISBN 13 : 9813201487
Total Pages : 390 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Harmonic Mappings, Twistors And Sigma Models by : Paul Gauduchon

Download or read book Harmonic Mappings, Twistors And Sigma Models written by Paul Gauduchon and published by World Scientific. This book was released on 1988-10-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic mappings have played in recent years and will likely to play in the future an important role in Differential Geometry and Theoretical Physics, where they are known as s-models. These Proceedings develop both aspects of the theory, with a special attention to the constructive methods, in particular the so-called twistorial approach. It includes expository articles on the twistorial methods, the various appearence of σ-models in Physics, the powerful analytic theory of regularity of SCHOEN-UHLENBECK.

Harmonic Mappings, Twistors, and [sigma]-models

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Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789971507299
Total Pages : 368 pages
Book Rating : 4.5/5 (72 download)

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Book Synopsis Harmonic Mappings, Twistors, and [sigma]-models by : Paul Gauduchon

Download or read book Harmonic Mappings, Twistors, and [sigma]-models written by Paul Gauduchon and published by World Scientific Publishing Company Incorporated. This book was released on 1988 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Twistors in Mathematics and Physics

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Publisher : Cambridge University Press
ISBN 13 : 0521397839
Total Pages : 395 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Twistors in Mathematics and Physics by : T. N. Bailey

Download or read book Twistors in Mathematics and Physics written by T. N. Bailey and published by Cambridge University Press. This book was released on 1990-08-23 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.

Form Factors in Completely Integrable Models of Quantum Field Theory

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Publisher : World Scientific
ISBN 13 : 9814506907
Total Pages : 224 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Form Factors in Completely Integrable Models of Quantum Field Theory by : F A Smirnov

Download or read book Form Factors in Completely Integrable Models of Quantum Field Theory written by F A Smirnov and published by World Scientific. This book was released on 1992-08-07 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' The monograph summarizes recent achievements in the calculation of matrix elements of local operators (form factors) for completely integrable models. Particularly, it deals with sine-Gordon, chiral Gross-Neven and O(3) nonlinear s models. General requirements on form factors are formulated and explicit formulas for form factors of most fundamental local operators are presented for the above mentioned models. Contents:Completely Integrable Models of Quantum Field TheoryThe Space of Physical StatesThe Necessary Properties of Form FactorsThe Local Commutativity TheoremSoliton Form Factors in SG ModelThe Main Properties of the Soliton Form FactorsBreathers Form Factors in SG ModelProperties of the Operators jμ, Tμν, exp(± iβu/2) in SG ModelForm Factors in SU(2)-Invariant Thirring ModelForm Factors in O(3)-Nonlinear σ-modelAsymptotics of Form FactorsCurrent AlgebrasForm Factors in SU(N) — Invariant Thirring Model (SU(N) Chiral Gross-Neveu Model)Phenomenological Reasonings Readership: Mathematical physicists. Keywords:Integrable;Quantum Field Theory in Two Dimensions;S-Matrix;Existence of Completely Integrable Models;Scattering Operator;Many-Particle Scattering;Yang-Baxter Triangle Equation;Soluable Lattice Models of Classical Statistical Mechanics;Form Factors;Zamolodchikov-Faddeev Approach;SU(2)-Invariant Thirring Model;Kinks;O(3)-Invariant σ-Model “It will be of great help to those who look for a reliable source of the numerous detailed calculations that have been performed over the years by many experts.” Mathematics Abstracts '

Geometry And Topology Of Submanifolds Iv - Proceedings Of The Conference On Differential Geometry And Vision

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Publisher : World Scientific
ISBN 13 : 9814554626
Total Pages : 298 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Geometry And Topology Of Submanifolds Iv - Proceedings Of The Conference On Differential Geometry And Vision by : Franki Dillen

Download or read book Geometry And Topology Of Submanifolds Iv - Proceedings Of The Conference On Differential Geometry And Vision written by Franki Dillen and published by World Scientific. This book was released on 1992-07-17 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings on pure and applied differential geometry, discusses several subjects in submanifold theory, such as the Willmore problem, minimal surfaces, submanifolds of finite type, affine differential geometry, indefinite Riemannian geometry, and applications of differential geometry in human and artificial vision.

Trends in Soliton Research

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Publisher : Nova Publishers
ISBN 13 : 9781594545603
Total Pages : 154 pages
Book Rating : 4.5/5 (456 download)

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Book Synopsis Trends in Soliton Research by : L. V. Chen

Download or read book Trends in Soliton Research written by L. V. Chen and published by Nova Publishers. This book was released on 2006 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their discovery a mere thirty years ago, solitons have been invoked to explain such diverse phenomena as: The long lived 'giant red spot' in the highly turbulent Jovian atmosphere. The famous Fermi-Pasta-Ulam paradox wherein a nonlinearly coupled lattice of particles does not display the expected equipartition of energy among available modes. Covering ion-acoustic waves in a plasma, energy storage and transfer in proteins via the Davydov soliton, and, the propagation of short laser pulses in optical fibres over long distances with negligible shape change, this volume presents important research from around the globe.

Riemannian Submersions and Related Topics

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Publisher : World Scientific
ISBN 13 : 9812562338
Total Pages : 292 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Riemannian Submersions and Related Topics by : Maria Falcitelli

Download or read book Riemannian Submersions and Related Topics written by Maria Falcitelli and published by World Scientific. This book was released on 2004 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first-ever systematic introduction to thetheory of Riemannian submersions, which was initiated by BarrettO''Neill and Alfred Gray less than four decades ago. The authorsfocus their attention on classification theorems when the total spaceand the fibres have nice geometric properties.

Riemannian Submersions and Related Topics

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Publisher : World Scientific
ISBN 13 : 9814482455
Total Pages : 292 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Riemannian Submersions and Related Topics by : Maria Falcitelli

Download or read book Riemannian Submersions and Related Topics written by Maria Falcitelli and published by World Scientific. This book was released on 2004-06-21 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' This book provides the first-ever systematic introduction to the theory of Riemannian submersions, which was initiated by Barrett O'Neill and Alfred Gray less than four decades ago. The authors focus their attention on classification theorems when the total space and the fibres have nice geometric properties. Particular emphasis is placed on the interrelation with almost Hermitian, almost contact and quaternionic geometry. Examples clarifying and motivating the theory are included in every chapter. Recent results on semi-Riemannian submersions are also explained. Finally, the authors point out the close connection of the subject with some areas of physics. Contents:Riemannian SubmersionsSubmersions with Totally Geodesic FibresAlmost Hermitian SubmersionsRiemannian Submersions and Contact Metric ManifoldsEinstein Spaces and Riemannian SubmersionsRiemannian Submersions and SubmanifoldsSemi-Riemannian SubmersionsApplications of Riemannian Submersions in Physics Readership: Graduate students and researchers in differential geometry, Riemannian geometry and related fields such as physics. Keywords:Riemannian Submersions;Almost Hermitian Geometry;Contact Metric Manifolds;Einstein Spaces;Semi-Riemannian SubmersionsKey Features:First systematic exposition devoted to Riemannian submersionsDeals with current materialContains a wide-ranging bibliography and about 350 referencesReviews:“The reader should have little difficulty in locating the many different concepts in this rich and rewarding text. Young geometers looking for problems and more importantly directions for future work will find reading this book provides a fine source of material and papers.”Mathematical Reviews “This is a very well-written and interesting book on Riemannian submersions and it is the first monograph in the literature about this topic.”Zentralblatt MATH “Well written, gathering information spread in a lot of papers, unifying the style of many authors, with most of the proofs carried in all details, with a wealth of examples, it certainly fills a gap in the literature and will be a prior reference for both researchers and students.”Romanian Journal of Pure and Applied Mathematics '

Geometry of Foliations

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Publisher : Birkhäuser
ISBN 13 : 3034889143
Total Pages : 308 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Geometry of Foliations by : Philippe Tondeur

Download or read book Geometry of Foliations written by Philippe Tondeur and published by Birkhäuser. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics in this survey volume concern research done on the differential geom etry of foliations over the last few years. After a discussion of the basic concepts in the theory of foliations in the first four chapters, the subject is narrowed down to Riemannian foliations on closed manifolds beginning with Chapter 5. Following the discussion of the special case of flows in Chapter 6, Chapters 7 and 8 are de voted to Hodge theory for the transversal Laplacian and applications of the heat equation method to Riemannian foliations. Chapter 9 on Lie foliations is a prepa ration for the statement of Molino's Structure Theorem for Riemannian foliations in Chapter 10. Some aspects of the spectral theory for Riemannian foliations are discussed in Chapter 11. Connes' point of view of foliations as examples of non commutative spaces is briefly described in Chapter 12. Chapter 13 applies ideas of Riemannian foliation theory to an infinite-dimensional context. Aside from the list of references on Riemannian foliations (items on this list are referred to in the text by [ ]), we have included several appendices as follows. Appendix A is a list of books and surveys on particular aspects of foliations. Appendix B is a list of proceedings of conferences and symposia devoted partially or entirely to foliations. Appendix C is a bibliography on foliations, which attempts to be a reasonably complete list of papers and preprints on the subject of foliations up to 1995, and contains approximately 2500 titles.

The Variational Principles of Dynamics

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813103655
Total Pages : 444 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis The Variational Principles of Dynamics by : Boris A Kupershmidt

Download or read book The Variational Principles of Dynamics written by Boris A Kupershmidt and published by World Scientific Publishing Company. This book was released on 1992-12-31 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a conservative dynamical system of classical physics, how does one find a variational principle for it? Is there a canonical recipe for such a principle? The case of particle mechanics was settled by Lagrange in 1788; this text treats continuous systems. Recipes devised are algebraic in nature, and this book develops all the mathematical tools found necessary after the minute examination of the adiabatic fluid dynamics in the introduction. These tools include: Lagrangian and Hamiltonian formalisms, Legendre transforms, dual spaces of Lie algebras and associated 2-cocycles; and linearized and Z2-graded versions of all of these. The following typical physical systems, together with their Hamiltonian structures, are discussed: Classical Magnetohydro-dynamics with its Hall deformation; Multifluid Plasma; Superfluid He-4 (both irrotational and rotating) and 3He-A; Quantum fluids; Yang-Mills MHD; Spinning fluids; Spin Glass; Extended YM Plasma; A Lattice Gas. Detailed motivations, easy-to-follow arguments, open problems, and over 300 exercises help the reader. Request Inspection Copy

New Developments in the Theory of Knots

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Publisher :
ISBN 13 : 9814507016
Total Pages : pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis New Developments in the Theory of Knots by :

Download or read book New Developments in the Theory of Knots written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Braid Group, Knot Theory and Statistical Mechanics II

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Publisher : World Scientific
ISBN 13 : 9814502782
Total Pages : 480 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Braid Group, Knot Theory and Statistical Mechanics II by : C N Yang

Download or read book Braid Group, Knot Theory and Statistical Mechanics II written by C N Yang and published by World Scientific. This book was released on 1994-02-24 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors. Contents:On the Combinatorics of Vassiliev Invariants (J S Birman)Solvable Methods, Link Invariants and Their Applications to Physics (T Deguchi & M Wadati)Quantum Symmetry in Conformal Field Theory by Hamiltonian Methods (L D Faddeev)Yang-Baxterization & Algebraic Structures (M L Ge, K Xue, Y S Wu)Spin Networks, Topology and Discrete Physics (L H Kauffman)Tunnel Numbers of Knots and Jones-Witten Invariants (T Kohno)Knot Invariants and Statistical Mechanics: A Physicist's Perspective (F Y Wu)and other papers Readership: Mathematical physicists. keywords:Braid Group;Knot Theory;Statistical Mechanics “It has been four years since the publication in 1989 of the previous volume bearing the same title as the present one. Enormous amounts of work have been done in the meantime. We hope the present volume will provide a summary of some of these works which are still progressing in several directions.” from the foreword by C N Yang

Russian Mathematical Surveys

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Publisher :
ISBN 13 :
Total Pages : 668 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Russian Mathematical Surveys by :

Download or read book Russian Mathematical Surveys written by and published by . This book was released on 1993 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Braid Group, Knot Theory and Statistical Mechanics

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Publisher : World Scientific
ISBN 13 : 9814507423
Total Pages : 336 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Braid Group, Knot Theory and Statistical Mechanics by : C N Yang

Download or read book Braid Group, Knot Theory and Statistical Mechanics written by C N Yang and published by World Scientific. This book was released on 1991-06-05 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Notes on Subfactors and Statistical Mechanics (V F R Jones)Polynomial Invariants in Knot Theory (L H Kauffman)Algebras of Loops on Surfaces, Algebras of Knots, and Quantization (V G Turaev)Quantum Groups (L Faddeev et al.)Introduction to the Yang-Baxter Equation (M Jimbo)Integrable Systems Related to Braid Groups and Yang-Baxter Equation (T Kohno)The Yang-Baxter Relation: A New Tool for Knot Theory (Y Akutsu et al.)Akutsu-Wadati Link Polynomials from Feynman-Kauffman Diagrams (M-L Ge et al.)Quantum Field Theory and the Jones Polynomial (E Witten) Readership: Mathematical physicists.

Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications

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Publisher : World Scientific
ISBN 13 : 9814506567
Total Pages : 854 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications by : Jurg Frohlich

Download or read book Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications written by Jurg Frohlich and published by World Scientific. This book was released on 1992-04-29 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Infinite Analysis: Rims Project 1991 (In 2 Volumes)

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Publisher : World Scientific
ISBN 13 : 9814554901
Total Pages : 1104 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Infinite Analysis: Rims Project 1991 (In 2 Volumes) by : Tohru Eguchi

Download or read book Infinite Analysis: Rims Project 1991 (In 2 Volumes) written by Tohru Eguchi and published by World Scientific. This book was released on 1992-06-25 with total page 1104 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of original research papers presented at the workshop. The main topics covered are Conformal Field Theory, Integrable Massive Field Theory, Quantum Gravity, Quantum Group, Lattice Solvable Models, Low Dimensional Topology, and C* Algebras.