Geometry of Submanifolds, Alfonso Carriazo, Bogdan D. Suceava, Ivko Dimitric, Joeri Van der Veken, Yun Myung Oh
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: 174240.00 T 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: 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: 47520.00 T 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: 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: 96090.00 T 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: Berndt Название: Submanifolds and Holonomy, Second Edition ISBN: 1482245159 ISBN-13(EAN): 9781482245158 Издательство: Taylor&Francis Рейтинг: Цена: 163330.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.
New to the Second Edition
New chapter on normal holonomy of complex submanifolds
New chapter on the Berger-Simons holonomy theorem
New chapter on the skew-torsion holonomy system
New chapter on polar actions on symmetric spaces of compact type
New chapter on polar actions on symmetric spaces of noncompact type
New section on the existence of slices and principal orbits for isometric actions
New subsection on maximal totally geodesic submanifolds
New subsection on the index of symmetric spaces
The book uses the reduction of codimension, Moore's lemma for local splitting, and the normal holonomy theorem to address the geometry of submanifolds. It presents a unified treatment of new proofs and main results of homogeneous submanifolds, isoparametric submanifolds, and their generalizations to Riemannian manifolds, particularly Riemannian symmetric spaces.
Автор: Dragomir Название: Geometry of Cauchy-Riemann Submanifolds ISBN: 9811009155 ISBN-13(EAN): 9789811009150 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds.Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.
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 Наличие на складе: Есть у поставщика Поставка под заказ. 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: Sean N. Curry, A. Rod Gover Название: CR Embedded Submanifolds of CR Manifolds ISBN: 1470435446 ISBN-13(EAN): 9781470435448 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 83160.00 T Наличие на складе: Невозможна поставка. Описание: Thre authors of this volume develop a complete local theory for CR embedded submanifolds of CR manifolds in a way which parallels the Ricci calculus for Riemannian submanifold theory.
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: 174240.00 T 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: Bogdan D. Suceava, Alfonso Carriazo, Yun Myung Oh, Joeri Van der Veken Название: Recent Advances in the Geometry of Submanifolds: Dedicated to the Memory of Franki Dillen (1963-2013) ISBN: 1470422980 ISBN-13(EAN): 9781470422981 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108110.00 T Наличие на складе: Невозможна поставка. Описание: Contains the proceedings of the AMS Special Session on Geometry of Submanifolds, held in October 2014, and the AMS Special Session on Recent Advances in the Geometry of Submanifolds, held in March 2015. The focus of the volume is on recent studies of submanifolds of Riemannian, semi-Riemannian, Kaehlerian and contact manifolds.
Автор: Weiping Li, Shihshu Walter Wei Название: Geometry and Topology of Submanifolds and Currents ISBN: 1470415569 ISBN-13(EAN): 9781470415563 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 104410.00 T Наличие на складе: Невозможна поставка. Описание: The papers in this volume are mainly from the 2013 Midwest Geometry Conference, held October 19, 2013, at Oklahoma State University, Stillwater, OK, and partly from the 2012 Midwest Geometry Conference, held May 12-13, 2012, at the University of Oklahoma, Norman, OK. The papers cover recent results on geometry and topology of submanifolds.
Автор: Aurel Bejancu Название: Geometry of CR-Submanifolds ISBN: 9027721947 ISBN-13(EAN): 9789027721945 Издательство: Springer Рейтинг: Цена: 71730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;
Автор: K. Kenmotsu Название: Differential Geometry of Submanifolds ISBN: 3540138730 ISBN-13(EAN): 9783540138730 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
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