Riemannian Holonomy Groups and Calibrated Geometry

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Publisher : Oxford University Press
ISBN 13 : 019921560X
Total Pages : 314 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Riemannian Holonomy Groups and Calibrated Geometry by : Dominic D. Joyce

Download or read book Riemannian Holonomy Groups and Calibrated Geometry written by Dominic D. Joyce and published by Oxford University Press. This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering an exciting and active area of research at the crossroads of several different fields in mathematics and physics, and drawing on the author's previous work, this text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.

Riemannian Geometry and Holonomy Groups

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Author :
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Riemannian Geometry and Holonomy Groups by : Simon Salamon

Download or read book Riemannian Geometry and Holonomy Groups written by Simon Salamon and published by Longman Scientific and Technical. This book was released on 1989 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Submanifolds and Holonomy

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Author :
Publisher : CRC Press
ISBN 13 : 1482245167
Total Pages : 494 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Submanifolds and Holonomy by : Jurgen Berndt

Download or read book Submanifolds and Holonomy written by Jurgen Berndt and published by CRC Press. This book was released on 2016-02-22 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom

Holonomy Groups in Riemannian Geometry

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Author :
Publisher :
ISBN 13 : 9788524403460
Total Pages : 126 pages
Book Rating : 4.4/5 (34 download)

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Book Synopsis Holonomy Groups in Riemannian Geometry by : Andrew Clarke

Download or read book Holonomy Groups in Riemannian Geometry written by Andrew Clarke and published by . This book was released on 2012 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calabi-Yau Manifolds and Related Geometries

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642190049
Total Pages : 245 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Calabi-Yau Manifolds and Related Geometries by : Mark Gross

Download or read book Calabi-Yau Manifolds and Related Geometries written by Mark Gross and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS

Recent Developments in Pseudo-Riemannian Geometry

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Publisher : European Mathematical Society
ISBN 13 : 9783037190517
Total Pages : 556 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Recent Developments in Pseudo-Riemannian Geometry by : Dmitriĭ Vladimirovich Alekseevskiĭ

Download or read book Recent Developments in Pseudo-Riemannian Geometry written by Dmitriĭ Vladimirovich Alekseevskiĭ and published by European Mathematical Society. This book was released on 2008 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to and survey of recent developments in pseudo-Riemannian geometry, including applications in mathematical physics, by leading experts in the field. Topics covered are: Classification of pseudo-Riemannian symmetric spaces Holonomy groups of Lorentzian and pseudo-Riemannian manifolds Hypersymplectic manifolds Anti-self-dual conformal structures in neutral signature and integrable systems Neutral Kahler surfaces and geometric optics Geometry and dynamics of the Einstein universe Essential conformal structures and conformal transformations in pseudo-Riemannian geometry The causal hierarchy of spacetimes Geodesics in pseudo-Riemannian manifolds Lorentzian symmetric spaces in supergravity Generalized geometries in supergravity Einstein metrics with Killing leaves The book is addressed to advanced students as well as to researchers in differential geometry, global analysis, general relativity and string theory. It shows essential differences between the geometry on manifolds with positive definite metrics and on those with indefinite metrics, and highlights the interesting new geometric phenomena, which naturally arise in the indefinite metric case. The reader finds a description of the present state of the art in the field as well as open problems, which can stimulate further research.

Compact Manifolds with Special Holonomy

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Publisher : OUP Oxford
ISBN 13 : 9780198506010
Total Pages : 460 pages
Book Rating : 4.5/5 (6 download)

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Book Synopsis Compact Manifolds with Special Holonomy by : Dominic D. Joyce

Download or read book Compact Manifolds with Special Holonomy written by Dominic D. Joyce and published by OUP Oxford. This book was released on 2000 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.

Geometric Flows and the Geometry of Space-time

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Publisher : Springer
ISBN 13 : 3030011267
Total Pages : 121 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Geometric Flows and the Geometry of Space-time by : Vicente Cortés

Download or read book Geometric Flows and the Geometry of Space-time written by Vicente Cortés and published by Springer. This book was released on 2018-12-05 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two lecture notes on geometric flow equations (O. Schnürer) and Lorentzian geometry - holonomy, spinors and Cauchy Problems (H. Baum and T. Leistner) written by leading experts in these fields. It grew out of the summer school “Geometric flows and the geometry of space-time” held in Hamburg (2016) and provides an excellent introduction for students of mathematics and theoretical physics to important themes of current research in global analysis, differential geometry and mathematical physics

Lectures on Hyperhamiltonian Dynamics and Physical Applications

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Publisher : Springer
ISBN 13 : 331954358X
Total Pages : 182 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Lectures on Hyperhamiltonian Dynamics and Physical Applications by : Giuseppe Gaeta

Download or read book Lectures on Hyperhamiltonian Dynamics and Physical Applications written by Giuseppe Gaeta and published by Springer. This book was released on 2017-07-21 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications. In addition, some open problems are discussed. Hyperhamiltonian mechanics represents a generalization of Hamiltonian mechanics, in which the role of the symplectic structure is taken by a hyperkähler one (thus there are three Kähler/symplectic forms satisfying quaternionic relations). This has proved to be of use in the description of physical systems with spin, including those which do not admit a Hamiltonian formulation. The book is the first monograph on the subject, which has previously been treated only in research papers.

C?-Algebraic Geometry with Corners

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Publisher : Cambridge University Press
ISBN 13 : 1009400169
Total Pages : 223 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis C?-Algebraic Geometry with Corners by : Kelli Francis-Staite

Download or read book C?-Algebraic Geometry with Corners written by Kelli Francis-Staite and published by Cambridge University Press. This book was released on 2023-12-31 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crossing the boundary between differential and algebraic geometry in order to study singular spaces, this book introduces 'C∞-schemes with corners'.

Geometry, Lie Theory and Applications

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Publisher : Springer Nature
ISBN 13 : 3030812960
Total Pages : 337 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Geometry, Lie Theory and Applications by : Sigbjørn Hervik

Download or read book Geometry, Lie Theory and Applications written by Sigbjørn Hervik and published by Springer Nature. This book was released on 2022-02-07 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of contributions from the participants of the Abel Symposium 2019 held in Ålesund, Norway. It was centered about applications of the ideas of symmetry and invariance, including equivalence and deformation theory of geometric structures, classification of differential invariants and invariant differential operators, integrability analysis of equations of mathematical physics, progress in parabolic geometry and mathematical aspects of general relativity. The chapters are written by leading international researchers, and consist of both survey and research articles. The book gives the reader an insight into the current research in differential geometry and Lie theory, as well as applications of these topics, in particular to general relativity and string theory.

An Introduction to Algebraic Geometry and Algebraic Groups

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Publisher : Oxford University Press
ISBN 13 : 019967616X
Total Pages : 321 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis An Introduction to Algebraic Geometry and Algebraic Groups by : Meinolf Geck

Download or read book An Introduction to Algebraic Geometry and Algebraic Groups written by Meinolf Geck and published by Oxford University Press. This book was released on 2013-03-14 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible text introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields.

Riemann Surfaces

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Publisher : Oxford University Press
ISBN 13 : 0198526393
Total Pages : 301 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Riemann Surfaces by : Simon Donaldson

Download or read book Riemann Surfaces written by Simon Donaldson and published by Oxford University Press. This book was released on 2011-03-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods and tools.

Cohomological Aspects in Complex Non-Kähler Geometry

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Publisher : Springer
ISBN 13 : 3319024418
Total Pages : 289 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Cohomological Aspects in Complex Non-Kähler Geometry by : Daniele Angella

Download or read book Cohomological Aspects in Complex Non-Kähler Geometry written by Daniele Angella and published by Springer. This book was released on 2013-11-22 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kähler structure. We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered.

Lectures and Surveys on G2-Manifolds and Related Topics

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Author :
Publisher : Springer Nature
ISBN 13 : 1071605771
Total Pages : 392 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Lectures and Surveys on G2-Manifolds and Related Topics by : Spiro Karigiannis

Download or read book Lectures and Surveys on G2-Manifolds and Related Topics written by Spiro Karigiannis and published by Springer Nature. This book was released on 2020-05-26 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.

Global Theory of Connections and Holonomy Groups

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Author :
Publisher : Noordhoff International Publishing
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Global Theory of Connections and Holonomy Groups by : André Lichnerowicz

Download or read book Global Theory of Connections and Holonomy Groups written by André Lichnerowicz and published by Noordhoff International Publishing. This book was released on 1976 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Geometry

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Publisher : OUP Oxford
ISBN 13 : 0191621226
Total Pages : 313 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Differential Geometry by : Clifford Henry Taubes

Download or read book Differential Geometry written by Clifford Henry Taubes and published by OUP Oxford. This book was released on 2011-10-13 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects. Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and Kähler geometry. Differential Geometry uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life. Helpfully, proofs are offered for almost all assertions throughout. All of the introductory material is presented in full and this is the only such source with the classical examples presented in detail.