Variational Problems For Hypersurfaces In Riemannian Manifolds

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Variational Problems For Hypersurfaces In Riemannian Manifolds

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Author : Jorge Herbert Soares De Lira
language : en
Publisher: de Gruyter
Release Date : 2017-07-15

Variational Problems For Hypersurfaces In Riemannian Manifolds written by Jorge Herbert Soares De Lira and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-15 with categories.

Geometric analysis is one of the most active research fields nowadays. The interplay between geometric and analytic techniques is at the core of recent remarkable advances in differential geometry and topology. This book is aimed to be a comprehensive introduction to the basic geometric facts and PDE tools as well as to some current research topics on hypersurfaces with prescribed mean curvature in Riemannian manifolds.

Global Affine Differential Geometry Of Hypersurfaces

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Author : An-Min Li
language : en
Publisher: Walter de Gruyter
Release Date : 1993

Global Affine Differential Geometry Of Hypersurfaces written by An-Min Li and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Invariant Theory Of Variational Problems On Subspaces Of A Riemannian Manifold

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Author : Hanno Rund
language : en
Publisher:
Release Date : 1971

Invariant Theory Of Variational Problems On Subspaces Of A Riemannian Manifold written by Hanno Rund and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Calculus of variations categories.

Calculus Of Variations And Geometric Evolution Problems

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Author : F. Bethuel
language : en
Publisher: Springer
Release Date : 2006-11-14

Calculus Of Variations And Geometric Evolution Problems written by F. Bethuel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

Variational Problems For Maps Of Riemannian Manifolds

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Author : Guojun Liao
language : en
Publisher:
Release Date : 1985

Variational Problems For Maps Of Riemannian Manifolds written by Guojun Liao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

The Volume Of Vector Fields On Riemannian Manifolds

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Author : Olga Gil-Medrano
language : en
Publisher: Springer Nature
Release Date : 2023-07-31

The Volume Of Vector Fields On Riemannian Manifolds written by Olga Gil-Medrano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-31 with Mathematics categories.

This book focuses on the study of the volume of vector fields on Riemannian manifolds. Providing a thorough overview of research on vector fields defining minimal submanifolds, and on the existence and characterization of volume minimizers, it includes proofs of the most significant results obtained since the subject’s introduction in 1986. Aiming to inspire further research, it also highlights a selection of intriguing open problems, and exhibits some previously unpublished results. The presentation is direct and deviates substantially from the usual approaches found in the literature, requiring a significant revision of definitions, statements, and proofs. A wide range of topics is covered, including: a discussion on the conditions for a vector field on a Riemannian manifold to determine a minimal submanifold within its tangent bundle with the Sasaki metric; numerous examples of minimal vector fields (including those of constant length on punctured spheres); a thorough analysis of Hopf vector fields on odd-dimensional spheres and their quotients; and a description of volume-minimizing vector fields of constant length on spherical space forms of dimension three. Each chapter concludes with an up-to-date survey which offers supplementary information and provides valuable insights into the material, enhancing the reader's understanding of the subject. Requiring a solid understanding of the fundamental concepts of Riemannian geometry, the book will be useful for researchers and PhD students with an interest in geometric analysis.

Null Curves And Hypersurfaces Of Semi Riemannian Manifolds

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Author : Krishan L Duggal
language : en
Publisher: World Scientific Publishing Company
Release Date : 2007-09-03

Null Curves And Hypersurfaces Of Semi Riemannian Manifolds written by Krishan L Duggal and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-03 with Science categories.

This is a first textbook that is entirely focused on the up-to-date developments of null curves with their applications to science and engineering. It fills an important gap in a second-level course in differential geometry, as well as being essential for a core undergraduate course on Riemannian curves and surfaces. The sequence of chapters is arranged to provide in-depth understanding of a chapter and stimulate further interest in the next. The book comprises a large variety of solved examples and rigorous exercises that range from elementary to higher levels. This unique volume is self-contained and unified in presenting: A systematic account of all possible null curves, their Frenet equations, unique null Cartan curves in Lorentzian manifolds and their practical problems in science and engineering.The geometric and physical significance of null geodesics, mechanical systems involving curvature of null curves, simple variation problems and the interrelation of null curves with hypersurfaces.

Conformal Geometry Of Discrete Groups And Manifolds

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Author : Boris N. Apanasov
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-24

Conformal Geometry Of Discrete Groups And Manifolds written by Boris N. Apanasov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Calculus Of Variations And Geometric Evolution Problems

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Author : F. Bethuel
language : en
Publisher: Springer
Release Date : 1999-10-19

Calculus Of Variations And Geometric Evolution Problems written by F. Bethuel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-19 with Mathematics categories.

The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

Workshop On Theoretical And Numerical Aspects Of Geometric Variational Problems

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Author : Gerd Dziuk
language : en
Publisher:
Release Date : 1991

Workshop On Theoretical And Numerical Aspects Of Geometric Variational Problems written by Gerd Dziuk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Calculus of variations categories.