Описание: The theoretical part of the work is developed in Chapters 2-14, while in Chapters 15-19 we apply the theory to several remarkable partial differ- ential equations.
Автор: Oscar Garcia-Prada; Raymond O. Wells Название: Differential Analysis on Complex Manifolds ISBN: 144192535X ISBN-13(EAN): 9781441925350 Издательство: Springer Рейтинг: Цена: 6841.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems.
The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of the developments in the field during the decades since the book appeared.
From a review of the 2nd Edition:
.."the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work."
- Nigel Hitchin, Bulletin of the London Mathematical Society
"Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material."
Автор: Serge Lang Название: Differential and Riemannian Manifolds ISBN: 1461286883 ISBN-13(EAN): 9781461286882 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers basic concepts in differential topology, differential geometry and differential equations. The latest, expanded edition offers three new chapters on Riemannian and pseudo-Riemannian geometry, and revised sections on sprays and Stokes` theorem.
Автор: Paolo Mastrolia; Marco Rigoli; Alberto G Setti Название: Yamabe-type Equations on Complete, Noncompact Manifolds ISBN: 3034807910 ISBN-13(EAN): 9783034807913 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph offers an introduction to some geometric and analytic aspects of the Yamabe problem, which is accessible to non-specialists in the field. It presents a number of new results and techniques as well as new proofs of known results.
Автор: Micka?l D. Chekroun; Honghu Liu; Shouhong Wang Название: Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations ISBN: 3319125192 ISBN-13(EAN): 9783319125190 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equations (SPDEs).
Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.
Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.
Описание: The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. In this study, Robert Gunning
Автор: HENKIN; LEITERER Название: Theory of Functions on Complex Manifolds ISBN: 3034865392 ISBN-13(EAN): 9783034865395 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph provides classifications of all three-dimensional complex manifolds for which a transitive action of a Lie group exists. The classifications are based on methods from Lie group theory, complex analysis and algebraic geometry.
Автор: S.R. Bell; J.-L. Brylinski; A.T. Huckleberry; R. N Название: Complex Manifolds ISBN: 3540629955 ISBN-13(EAN): 9783540629955 Издательство: Springer Рейтинг: Цена: 10760.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches.
Автор: B. Shiffman; Sommese Название: Vanishing Theorems on Complex Manifolds ISBN: 148996682X ISBN-13(EAN): 9781489966827 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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