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Author : Zisis Sakellaris
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)
Download or read book Minimization of Curvature in Conformal Geometry written by Zisis Sakellaris and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zisis N. Sakellaris
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (111 download)
Download or read book Minimization of Curvature in Conformal Geometry written by Zisis N. Sakellaris and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrea Malchiodi
Publisher :
ISBN 13 : 9783985475520
Total Pages : 0 pages
Book Rating : 4.4/5 (755 download)
Download or read book Prescribing Scalar Curvature in Conformal Geometry written by Andrea Malchiodi and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sun-Yung A. Chang
Publisher : American Mathematical Soc.
ISBN 13 : 0821832107
Total Pages : 97 pages
Book Rating : 4.8/5 (218 download)
Download or read book Conformal, Riemannian and Lagrangian Geometry written by Sun-Yung A. Chang and published by American Mathematical Soc.. This book was released on 2002 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in topology and analysis have led to the creation of new lines of investigation in differential geometry. The 2000 Barrett Lectures present the background, context and main techniques of three such lines by means of surveys by leading researchers. The first chapter (by Alice Chang and Paul Yang) introduces new classes of conformal geometric invariants, and then applies powerful techniques in nonlinear differential equations to derive results on compactificationsof manifolds and on Yamabe-type variational problems for these invariants. This is followed by Karsten Grove's lectures, which focus on the use of isometric group actions and metric geometry techniques to understand new examples and classification results in Riemannian geometry, especially inconnection with positive curvature. The chapter written by Jon Wolfson introduces the emerging field of Lagrangian variational problems, which blends in novel ways the structures of symplectic geometry and the techniques of the modern calculus of variations. The lectures provide an up-do-date overview and an introduction to the research literature in each of their areas. The book is a very enjoyable read, which should prove useful to graduate students and researchers in differential geometryand geometric analysis.
Author : Miao Jin
Publisher : Springer
ISBN 13 : 3319753320
Total Pages : 318 pages
Book Rating : 4.3/5 (197 download)
Download or read book Conformal Geometry written by Miao Jin and published by Springer. This book was released on 2018-04-10 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential overview of computational conformal geometry applied to fundamental problems in specific engineering fields. It introduces readers to conformal geometry theory and discusses implementation issues from an engineering perspective. The respective chapters explore fundamental problems in specific fields of application, and detail how computational conformal geometric methods can be used to solve them in a theoretically elegant and computationally efficient way. The fields covered include computer graphics, computer vision, geometric modeling, medical imaging, and wireless sensor networks. Each chapter concludes with a summary of the material covered and suggestions for further reading, and numerous illustrations and computational algorithms complement the text. The book draws on courses given by the authors at the University of Louisiana at Lafayette, the State University of New York at Stony Brook, and Tsinghua University, and will be of interest to senior undergraduates, graduates and researchers in computer science, applied mathematics, and engineering.
Author : Steven G. Krantz
Publisher : Courier Dover Publications
ISBN 13 : 0486793443
Total Pages : 308 pages
Book Rating : 4.4/5 (867 download)
Download or read book The Theory and Practice of Conformal Geometry written by Steven G. Krantz and published by Courier Dover Publications. This book was released on 2016-02-17 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: An expert on conformal geometry introduces some of the subject's modern developments. Topics include the Riemann mapping theorem, invariant metrics, automorphism groups, harmonic measure, extremal length, analytic capacity, invariant geometry, and more. 2016 edition.
Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
ISBN 13 : 1441999086
Total Pages : 129 pages
Book Rating : 4.4/5 (419 download)
Download or read book Topics in Extrinsic Geometry of Codimension-One Foliations written by Vladimir Rovenski and published by Springer Science & Business Media. This book was released on 2011-07-26 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The authors of Topics in Extrinsic Geometry of Codimension-One Foliations achieve a technical tour de force, which will lead to important geometric results. The Integral Formulae, introduced in chapter 1, is a useful for problems such as: prescribing higher mean curvatures of foliations, minimizing volume and energy defined for vector or plane fields on manifolds, and existence of foliations whose leaves enjoy given geometric properties. The Integral Formulae steams from a Reeb formula, for foliations on space forms which generalize the classical ones. For a special auxiliary functions the formulae involve the Newton transformations of the Weingarten operator. The central topic of this book is Extrinsic Geometric Flow (EGF) on foliated manifolds, which may be a tool for prescribing extrinsic geometric properties of foliations. To develop EGF, one needs Variational Formulae, revealed in chapter 2, which expresses a change in different extrinsic geometric quantities of a fixed foliation under leaf-wise variation of the Riemannian Structure of the ambient manifold. Chapter 3 defines a general notion of EGF and studies the evolution of Riemannian metrics along the trajectories of this flow(e.g., describes the short-time existence and uniqueness theory and estimate the maximal existence time).Some special solutions (called Extrinsic Geometric Solutions) of EGF are presented and are of great interest, since they provide Riemannian Structures with very particular geometry of the leaves. This work is aimed at those who have an interest in the differential geometry of submanifolds and foliations of Riemannian manifolds.
Author : Qinian Jin
Publisher :
ISBN 13 : 9780542953187
Total Pages : 124 pages
Book Rating : 4.9/5 (531 download)
Download or read book Curvature Prescribing Problems in Hyperbolic Space and Conformal Geometry written by Qinian Jin and published by . This book was released on 2006 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis consists of two parts. In the first part we consider the problem of finding a star-shaped compact hypersurface with prescribed k-th mean curvature in hyperbolic space. Under some sufficient conditions, we obtain an existence result by establishing a priori estimates and using degree theory argument. In the second part we study a fully nonlinear version of the Yamabe problem on compact Riemannian manifolds with boundary. We establish various local gradient and Hessian estimates and prove some existence results.
Author : Edwin R. Hancock
Publisher : Springer Science & Business Media
ISBN 13 : 3642035957
Total Pages : 418 pages
Book Rating : 4.6/5 (42 download)
Download or read book Mathematics of Surfaces XIII written by Edwin R. Hancock and published by Springer Science & Business Media. This book was released on 2009-08-06 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th IMA International Conference on the Mathematics of Surfaces held in York, UK in September 2009. The papers in the present volume include seven invited papers, as well as 16 submitted papers. The topics covered include subdivision schemes and their continuity, polar patchworks, compressive algorithms for PDEs, surface invariant functions, swept volume parameterization, Willmore flow, computational conformal geometry, heat kernel embeddings, and self-organizing maps on manifolds, mesh and manifold construction, editing, flattening, morphing and interrogation, dissection of planar shapes, symmetry processing, morphable models, computation of isophotes, point membership classification and vertex blends. Surface types considered encompass polygon meshes as well as parametric and implicit surfaces.
Author : Luca Galimberti
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (949 download)
Download or read book Bubbling Phenomena for Prescribed Curvature Problems in Conformal Geometry written by Luca Galimberti and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vinton Asbury Hoyle
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.3/5 (91 download)
Download or read book Some Problems in Conformal Geometry written by Vinton Asbury Hoyle and published by . This book was released on 1931 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sigrid Adriaenssens
Publisher : Routledge
ISBN 13 : 1317909380
Total Pages : 338 pages
Book Rating : 4.3/5 (179 download)
Download or read book Shell Structures for Architecture written by Sigrid Adriaenssens and published by Routledge. This book was released on 2014-03-21 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: *** Featuring a foreword by Pritzker Prize Winner Shigeru Ban *** Bringing together experts from research and practice, Shell Structures for Architecture: Form Finding and Optimization presents contemporary design methods for shell and gridshell structures, covering form-finding and structural optimization techniques. It introduces architecture and engineering practitioners and students to structural shells and provides computational techniques to develop complex curved structural surfaces, in the form of mathematics, computer algorithms, and design case studies. • Part I introduces the topic of shells, tracing the ancient relationship between structural form and forces, the basics of shell behaviour, and the evolution of form-finding and structural optimization techniques. • Part II familiarizes the reader with form-finding techniques to explore expressive structural geometries, covering the force density method, thrust network analysis, dynamic relaxation and particle-spring systems. • Part III focuses on shell shape and topology optimization, and provides a deeper understanding of gradient-based methods and meta-heuristic techniques. • Part IV contains precedent studies of realised shells and gridshells describing their innovative design and construction methods.
Author : Norbert A'Campo
Publisher : Springer Nature
ISBN 13 : 3030890325
Total Pages : 282 pages
Book Rating : 4.0/5 (38 download)
Download or read book Topological, Differential and Conformal Geometry of Surfaces written by Norbert A'Campo and published by Springer Nature. This book was released on 2021-10-27 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincaré Lemma, the Morse Lemma, the classification of compact connected oriented surfaces, Stokes’ Theorem, fixed point theorems and rigidity theorems. There is also a novel presentation of planar hyperbolic geometry. Moving on to more advanced concepts, it covers topics such as Riemannian metrics, the isometric torsion-free connection on vector fields, the Ansatz of Koszul, the Gauss–Bonnet Theorem, and integrability. These concepts are then used for the study of Riemann surfaces. One of the focal points is the Uniformization Theorem for compact surfaces, an elementary proof of which is given via a property of the energy functional. Among numerous other results, there is also a proof of Chow’s Theorem on compact holomorphic submanifolds in complex projective spaces. Based on lecture courses given by the author, the book will be accessible to undergraduates and graduates interested in the analytic theory of Riemann surfaces.
Author : Xianfeng David Gu
Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.3/5 (91 download)
Download or read book Computational Conformal Geometry written by Xianfeng David Gu and published by . This book was released on 2008 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Morten Dæhlen
Publisher : Springer Science & Business Media
ISBN 13 : 3642116191
Total Pages : 453 pages
Book Rating : 4.6/5 (421 download)
Download or read book Mathematical Methods for Curves and Surfaces written by Morten Dæhlen and published by Springer Science & Business Media. This book was released on 2010-03-02 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.
Author : Karsten Grove
Publisher : Cambridge University Press
ISBN 13 : 9780521592222
Total Pages : 280 pages
Book Rating : 4.5/5 (922 download)
Download or read book Comparison Geometry written by Karsten Grove and published by Cambridge University Press. This book was released on 1997-05-13 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.
Author : Vladimir Oliker
Publisher : American Mathematical Soc.
ISBN 13 : 9780821854600
Total Pages : 172 pages
Book Rating : 4.8/5 (546 download)
Download or read book Geometry and Nonlinear Partial Differential Equations written by Vladimir Oliker and published by American Mathematical Soc.. This book was released on 1992 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of an AMS Special Session on Geometry, Physics, and Nonlinear PDEs, The conference brought together specialists in Monge-Ampere equations, prescribed curvature problems, mean curvature, harmonic maps, evolution with curvature-dependent speed, isospectral manifolds, and general relativity. An excellent overview of the frontiers of research in these areas.
