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 Рейтинг: Цена: 26136.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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: ?lo Lumiste Название: Semiparallel Submanifolds in Space Forms ISBN: 1441923896 ISBN-13(EAN): 9781441923899 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Chen Bang-yen Название: Differential Geometry Of Warped Product Manifolds And Submanifolds ISBN: 9813208929 ISBN-13(EAN): 9789813208926 Издательство: World Scientific Publishing Рейтинг: Цена: 26136.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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: D`Angelo John P Название: Hermitian Analysis ISBN: 3030165132 ISBN-13(EAN): 9783030165130 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Поставка под заказ.
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: 6986.00 р. 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.
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: Mirjana Djoric; Masafumi Okumura Название: CR Submanifolds of Complex Projective Space ISBN: 1461424771 ISBN-13(EAN): 9781461424772 Издательство: Springer Рейтинг: Цена: 16070.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: John P. D`Angelo Название: Hermitian Analysis ISBN: 1461485258 ISBN-13(EAN): 9781461485254 Издательство: Springer Рейтинг: Цена: 6986.00 р. 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.
Автор: Chen Bang-Yen Название: Total Mean Curvature And Submanifolds Of Finite Type (2Nd Edition) ISBN: 9814616680 ISBN-13(EAN): 9789814616683 Издательство: World Scientific Publishing Рейтинг: Цена: 14414.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.
Автор: Xin, Yuanlong (fudan Univ, China) Название: Minimal submanifolds and related topics: with exercises and examples ISBN: 9813236051 ISBN-13(EAN): 9789813236059 Издательство: World Scientific Publishing Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas-Rado solution to Plateau's problem, but the main emphasis is on Bernstein's problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and the author's own contributions to Bernstein type theorems for higher codimension. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds.
This new edition contains the author's recent work on the Lawson-Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson-Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis.
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 Рейтинг: Цена: 7128.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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