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Submanifolds and Holonomy, Second Edition, Berndt


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Цена: 24499.00р.
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Автор: Berndt
Название:  Submanifolds and Holonomy, Second Edition
ISBN: 9781482245158
Издательство: Taylor&Francis
Классификация:

ISBN-10: 1482245159
Обложка/Формат: Hardback
Страницы: 494
Вес: 0.85 кг.
Дата издания: 22.02.2016
Серия: Chapman & hall/crc monographs and research notes in mathematics
Язык: English
Издание: 2 ed
Иллюстрации: 17 tables, black and white; 8 illustrations, black and white
Размер: 241 x 165 x 33
Читательская аудитория: General (us: trade)
Ключевые слова: Geometry, MATHEMATICS / Arithmetic,MATHEMATICS / Geometry / General
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
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, Moores 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.




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Regular and Irregular Holonomic D-Modules

Автор: Kashiwara
Название: Regular and Irregular Holonomic D-Modules
ISBN: 1316613453 ISBN-13(EAN): 9781316613450
Издательство: Cambridge Academ
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Описание: The theory of D-modules applies to many areas, including linear PDEs, group representation, algebraic geometry and mathematical physics. This book is the first devoted specifically to the most important variety, holonomic D-modules. It provides a complete unified treatment of the theory of holonomic D-modules, both regular and irregular.

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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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.

CR Submanifolds of Complex Projective Space

Автор: Mirjana Djoric; Masafumi Okumura
Название: CR Submanifolds of Complex Projective Space
ISBN: 1461424771 ISBN-13(EAN): 9781461424772
Издательство: Springer
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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.

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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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.

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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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.


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