Hermitian-Grassmannian Submanifolds: Daegu, Korea, July 2016, Suh Young Jin, Ohnita Yoshihiro, Zhou Jiazu

Автор: Chen Bang-yen, Ou Ye-lin
Название: Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry
ISBN: 9811212376 ISBN-13(EAN): 9789811212376
Издательство: World Scientific Publishing
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The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results.

Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus biharmonic submanifolds include minimal submanifolds as a subclass. Biharmonic submanifolds also appeared in the study of finite type submanifolds in Euclidean spaces.

Biharmonic maps are maps between Riemannian manifolds that are critical points of the bienergy. They are generalizations of harmonic maps and biharmonic functions which have many important applications and interesting links to many areas of mathematics and theoretical physics.

Since 2000, biharmonic submanifolds and maps have become a vibrant research field with a growing number of researchers around the world, with many interesting results have been obtained.

This book containing basic knowledge, tools for some fundamental problems and a comprehensive survey on the study of biharmonic submanifolds and maps will be greatly beneficial for graduate students and beginning researchers who want to study the subject, as well as researchers who have already been working in the field.

Автор: Chen Bang-Yen
Название: Total Mean Curvature and Submanifolds of Finite Type: 2nd Edition
ISBN: 9814616699 ISBN-13(EAN): 9789814616690
Издательство: World Scientific Publishing
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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.

Автор: Young Jin Suh; J?rgen Berndt; Yoshihiro Ohnita; By
Название: Real and Complex Submanifolds
ISBN: 4431552146 ISBN-13(EAN): 9784431552147
Издательство: Springer
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Цена: 158380.00 T
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Автор: ?lo Lumiste
Название: Semiparallel Submanifolds in Space Forms
ISBN: 1441923896 ISBN-13(EAN): 9781441923899
Издательство: Springer
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Цена: 111790.00 T
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Описание: Quite simply, this book is the most comprehensive survey to date of the theory of semiparallel submanifolds. It begins with the necessary background material, then introduces semiparallel submanifolds and gives some characterizations for their class as well as several subclasses.

Автор: Alfonso Carriazo, Bogdan D. Suceava, Ivko Dimitric, Joeri Van der Veken, Yun Myung Oh
Название: Geometry of Submanifolds
ISBN: 1470450925 ISBN-13(EAN): 9781470450922
Издательство: Mare Nostrum (Eurospan)
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Цена: 100320.00 T
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Описание: This volume contains the proceedings of the AMS Special Session on Geometry of Submanifolds, in honor or Bang-Yen Chen's 75th birthday, held from October 20-21, 2018, at the University of Michigan, Ann Arbor, Michigan. The development of contemporary geometry of submanifolds benefited greatly from Bang-Yen Chen's contributions, as several interesting questions actively pursued today originate in his work. Chen is known for several fundamental ideas in differential geometry, including Chen inequalities, Chen invariants, Chen's conjectures, Chen surface, Chen-Ricci inequality, Chen submanifolds, Chen equality, submanifolds of finite type, and slant submanifolds. The papers in this volume represent a celebration of the geometry of submanifolds and its connections with other areas of mathematics and cover themes rooted in Chen's work, from investigations on the spectrum of the Laplacian on complete Riemannian manifolds to the geometry of symmetric spaces. These contributions are written with the hope to inform and inspire.

Автор: Maeda Sadahiro Et Al
Название: Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda`S 60Th Birthday
ISBN: 9814566276 ISBN-13(EAN): 9789814566278
Издательство: World Scientific Publishing
Цена: 111930.00 T
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Описание: This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such as differential geometers) who are interested in the theory of real hypersurfaces in a non-flat complex space form.

Автор: Chen Bang-yen
Название: Differential Geometry Of Warped Product Manifolds And Submanifolds
ISBN: 9813208929 ISBN-13(EAN): 9789813208926
Издательство: World Scientific Publishing
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A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry -- except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.

The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson-Walker's and Schwarzschild's.

The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century.

The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.

Автор: Mirjana Djoric; Masafumi Okumura
Название: CR Submanifolds of Complex Projective Space
ISBN: 1461424771 ISBN-13(EAN): 9781461424772
Издательство: Springer
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Цена: 107130.00 T
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Описание: This text begins with an introduction to complex differential geometry and the properties of complex manifolds. It then describes the properties of hypersurfaces of various complex spaces and CR manifolds, emphasizing CR submanifolds of maximal CR dimension.

Автор: D`Angelo John P
Название: Hermitian Analysis
ISBN: 3030165132 ISBN-13(EAN): 9783030165130
Издательство: Springer
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Цена: 55890.00 T
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Описание: The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class. This second edition contains a significant amount of new material, including a new chapter dedicated to the CR geometry of the unit sphere.

Автор: John P. D`Angelo
Название: Hermitian Analysis
ISBN: 1461485258 ISBN-13(EAN): 9781461485254
Издательство: Springer
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Цена: 46570.00 T
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Описание: This integrated book begins by discussing Fourier series, Hilbert spaces and the Fourier transform on the real line, and then turns to the heart of the text, geometric considerations. The concept of orthogonality weaves the material into a coherent whole.

Автор: D`Angelo John P.
Название: Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry
ISBN: 3030165167 ISBN-13(EAN): 9783030165161
Издательство: Springer
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Цена: 55890.00 T
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Описание: The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class. This second edition contains a significant amount of new material, including a new chapter dedicated to the CR geometry of the unit sphere.

Автор: John P. D`Angelo
Название: Hermitian Analysis
ISBN: 1493948989 ISBN-13(EAN): 9781493948987
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This integrated book begins by discussing Fourier series, Hilbert spaces and the Fourier transform on the real line, and then turns to the heart of the text, geometric considerations. The concept of orthogonality weaves the material into a coherent whole.