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Total Mean Curvature And Submanifolds Of Finite Type (2Nd Edition), Chen Bang-Yen


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Автор: Chen Bang-Yen
Название:  Total Mean Curvature And Submanifolds Of Finite Type (2Nd Edition)
ISBN: 9789814616683
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9814616680
Обложка/Формат: Hardback
Страницы: 488
Вес: 0.82 кг.
Дата издания: 18.12.2014
Серия: Series in pure mathematics
Язык: English
Издание: 2 rev ed
Размер: 157 x 230 x 28
Читательская аудитория: Postgraduate, research & scholarly
Ключевые слова: Geometry, MATHEMATICS / Geometry / General,MATHEMATICS / Geometry / Differential,MATHEMATICS / Topology
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Поставляется из: Англии
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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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.

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.

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.

Geometry, Topology, and Dynamics in Negative Curvature

Автор: Aravinda
Название: Geometry, Topology, and Dynamics in Negative Curvature
ISBN: 110752900X ISBN-13(EAN): 9781107529007
Издательство: Cambridge Academ
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Цена: 11405.00 р.
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Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.

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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Цена: 16070.00 р.
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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.

The Motion of a Surface by Its Mean Curvature. (MN-20):

Автор: Brakke Kenneth a.
Название: The Motion of a Surface by Its Mean Curvature. (MN-20):
ISBN: 0691611513 ISBN-13(EAN): 9780691611518
Издательство: Wiley
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Цена: 7128.00 р.
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Описание: Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of


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