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Differential Geometry Of Warped Product Manifolds And Submanifolds, Chen Bang-yen


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Автор: Chen Bang-yen
Название:  Differential Geometry Of Warped Product Manifolds And Submanifolds
ISBN: 9789813208926
Издательство: World Scientific Publishing
Классификация:

ISBN-10: 9813208929
Обложка/Формат: Hardcover
Страницы: 516
Вес: 0.79 кг.
Дата издания: 17.07.2017
Серия: Mathematics
Язык: English
Размер: 231 x 155 x 31
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Differential & Riemannian geometry, MATHEMATICS / Geometry / Differential,SCIENCE / Physics / Mathematical & Computational,SCIENCE / Physics / Relativity
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Поставляется из: Англии
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-Walkers and Schwarzschilds.

The famous John Nashs 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.




Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda`S 60Th Birthday

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: 16790.00 р.
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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.

Total Mean Curvature And Submanifolds Of Finite Type (2Nd Edition)

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
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Цена: 14414.00 р.
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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.

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications

Автор: Krishan L. Duggal; Aurel Bejancu
Название: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications
ISBN: 0792339576 ISBN-13(EAN): 9780792339571
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Written with a two-fold approach in mind, this book adds to the theory of submanifolds, the missing part of lightlike (degenerate) submanifolds of semi-Riemannian manifolds, and applies relevant mathematical results to branches of physics. It is useful to graduate students, research assistants and faculty working in geometry and physics.

Geometry of CR-Submanifolds

Автор: Aurel Bejancu
Название: Geometry of CR-Submanifolds
ISBN: 9027721947 ISBN-13(EAN): 9789027721945
Издательство: Springer
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Цена: 10760.00 р.
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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;

Geometry of Submanifolds

Автор: Chen Bang-Yen
Название: Geometry of Submanifolds
ISBN: 0486832783 ISBN-13(EAN): 9780486832784
Издательство: Dover
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Цена: 2476.00 р.
Наличие на складе: Нет в наличии.

Описание: This title was first published in 2001: This in-depth analysis of the foreign policy behaviour of Greece and Spain, which focuses on the role and influence that the two southern member states have had, is particularly suitable for courses of European foreign policy, comparative policy analysis and specialist courses on politics, international relations and European studies.

Geometry of Cauchy-Riemann Submanifolds

Автор: Dragomir
Название: Geometry of Cauchy-Riemann Submanifolds
ISBN: 9811009155 ISBN-13(EAN): 9789811009150
Издательство: Springer
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Цена: 15372.00 р.
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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.

Real and Complex 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: 23757.00 р.
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Total Mean Curvature and Submanifolds of Finite Type: 2nd Edition

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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Цена: 7128.00 р.
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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.

Differential Geometry of Submanifolds

Автор: K. Kenmotsu
Название: Differential Geometry of Submanifolds
ISBN: 3540138730 ISBN-13(EAN): 9783540138730
Издательство: Springer
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Цена: 3487.00 р.
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Submanifolds and Holonomy, Second Edition

Автор: Berndt
Название: Submanifolds and Holonomy, Second Edition
ISBN: 1482245159 ISBN-13(EAN): 9781482245158
Издательство: Taylor&Francis
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Цена: 24499.00 р.
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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.

Tight Polyhedral Submanifolds and Tight Triangulations

Автор: Wolfgang K?hnel
Название: Tight Polyhedral Submanifolds and Tight Triangulations
ISBN: 354060121X ISBN-13(EAN): 9783540601210
Издательство: Springer
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Цена: 3766.00 р.
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Описание: This volume is an introduction and a monograph about tight polyhedra. Particular emphasis is given to the interplay of varius special disciplines, such as geometry, elementary topology, combinatorics and convex polytopes.


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