Introduction To The Affine Differential Geometry Of Hypersurfaces

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Introduction To The Affine Differential Geometry Of Hypersurfaces

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Author : Udo Simon
language : en
Publisher:
Release Date : 1991

Introduction To The Affine Differential Geometry Of Hypersurfaces written by Udo Simon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Affine differential geometry categories.

Global Affine Differential Geometry Of Hypersurfaces

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Author : An-Min Li
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-08-17

Global Affine Differential Geometry Of Hypersurfaces written by An-Min Li and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-17 with Mathematics categories.

This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry – as differential geometry in general – has an exciting intersection area with other fields of interest, like partial differential equations, global analysis, convex geometry and Riemann surfaces. The second edition of this monograph leads the reader from introductory concepts to recent research. Since the publication of the first edition in 1993 there appeared important new contributions, like the solutions of two different affine Bernstein conjectures, due to Chern and Calabi, respectively. Moreover, a large subclass of hyperbolic affine spheres were classified in recent years, namely the locally strongly convex Blaschke hypersurfaces that have parallel cubic form with respect to the Levi-Civita connection of the Blaschke metric. The authors of this book present such results and new methods of proof.

Affine Bernstein Problems And Monge Amp Re Equations

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Author : An-Min Li
language : en
Publisher: World Scientific
Release Date : 2010

Affine Bernstein Problems And Monge Amp Re Equations written by An-Min Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

In this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It gives a selfcontained introduction to research in the last decade concerning global problems in the theory of submanifolds, leading to some types of Monge-AmpFre equations. From the methodical point of view, it introduces the solution of certain Monge-AmpFre equations via geometric modeling techniques. Here geometric modeling means the appropriate choice of a normalization and its induced geometry on a hypersurface defined by a local strongly convex global graph. For a better understanding of the modeling techniques, the authors give a selfcontained summary of relative hypersurface theory, they derive important PDEs (e.g. affine spheres, affine maximal surfaces, and the affine constant mean curvature equation). Concerning modeling techniques, emphasis is on carefully structured proofs and exemplary comparisons between different modelings.

Handbook Of Differential Geometry Volume 1

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Author : F.J.E. Dillen
language : en
Publisher: Elsevier
Release Date : 1999-12-16

Handbook Of Differential Geometry Volume 1 written by F.J.E. Dillen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-16 with Mathematics categories.

In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

Affine Differential Geometry

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Author : Katsumi Nomizu
language : en
Publisher: Cambridge University Press
Release Date : 1994-11-10

Affine Differential Geometry written by Katsumi Nomizu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-10 with Mathematics categories.

This is a self-contained and systematic account of affine differential geometry from a contemporary viewpoint, not only covering the classical theory, but also introducing the modern developments that have happened over the last decade. In order both to cover as much as possible and to keep the text of a reasonable size, the authors have concentrated on the significant features of the subject and their relationship and application to such areas as Riemannian, Euclidean, Lorentzian and projective differential geometry. In so doing, they also provide a modern introduction to the last. Some of the important geometric surfaces considered are illustrated by computer graphics, making this a physically and mathematically attractive book for all researchers in differential geometry, and for mathematical physicists seeking a quick entry into the subject.

Global Affine Differential Geometry Of Hypersurfaces

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Author : An-Min Li
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-08-17

Global Affine Differential Geometry Of Hypersurfaces written by An-Min Li and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-17 with Mathematics categories.

This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry – as differential geometry in general – has an exciting intersection area with other fields of interest, like partial differential equations, global analysis, convex geometry and Riemann surfaces. The second edition of this monograph leads the reader from introductory concepts to recent research. Since the publication of the first edition in 1993 there appeared important new contributions, like the solutions of two different affine Bernstein conjectures, due to Chern and Calabi, respectively. Moreover, a large subclass of hyperbolic affine spheres were classified in recent years, namely the locally strongly convex Blaschke hypersurfaces that have parallel cubic form with respect to the Levi-Civita connection of the Blaschke metric. The authors of this book present such results and new methods of proof.

Geometry And Topology Of Submanifolds Vii Differential Geometry In Honour Of Prof Katsumi Nomizu

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Author : Franki Dillen
language : en
Publisher: World Scientific
Release Date : 1995-05-09

Geometry And Topology Of Submanifolds Vii Differential Geometry In Honour Of Prof Katsumi Nomizu written by Franki Dillen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-09 with categories.

This volume on pure and applied differential geometry, includes topics on submanifold theory, affine differential geometry and applications of geometry in engineering sciences. The conference was dedicated to the 70th birthday of Prof Katsumi Nomizu. Papers on the scientific work and life of Katsumi Nomizu are also included.

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

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Author : Franki Dillen
language : en
Publisher: World Scientific
Release Date : 1992-07-17

Geometry And Topology Of Submanifolds Iv Proceedings Of The Conference On Differential Geometry And Vision written by Franki Dillen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-17 with categories.

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.

Geometry And Topology Of Submanifolds Ii

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Author : M Boyom
language : en
Publisher: #N/A
Release Date : 1990-05-01

Geometry And Topology Of Submanifolds Ii written by M Boyom and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-05-01 with categories.

Introduction To Topology

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Author : Min Yan
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-02-22

Introduction To Topology written by Min Yan and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-22 with Mathematics categories.

The aim of the book is to give a broad introduction of topology to undergraduate students. It covers the most important and useful parts of the point-set as well as the combinatorial topology. The development of the material is from simple to complex, concrete to abstract, and appeals to the intuition of readers. Attention is also paid to how topology is actually used in the other fields of mathematics. Over 150 illustrations, 160 examples and 600 exercises will help readers to practice and fully understand the subject. Contents: Set and Map Metric Space Graph Topology Topological Concepts Complex Topological Properties Surface Topics in Point Set Topology Index