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
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.
Описание: Aims for the construction of families of Calabi-Yau 3-manifolds with dense sets of complex multiplication fibers. Suitable for young mathematicians, physicists and also for experts who are interested in complex multiplication and varieties with complex multiplication, this work introduces the reader to generic Mumford-Tate groups and Shimura data.
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: 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.
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.
Автор: Boris Sternin; Victor Shatalov Название: Differential Equations on Complex Manifolds ISBN: 0792327101 ISBN-13(EAN): 9780792327103 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contains a presentation of the general theory of differential equations on complex manifolds. This volume includes chapters that deal with questions concerning qualitative (asymptotic) theory of partial differential equations as well as questions about the existence of solutions in spaces of ramifying functions.
Автор: Riccardo Benedetti; Carlo Petronio Название: Branched Standard Spines of 3-manifolds ISBN: 3540626271 ISBN-13(EAN): 9783540626275 Издательство: Springer Рейтинг: Цена: 3766.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text provides a unified combinatorial realization of the categories of (closed, oriented) 3-manifolds, combed 3-manifolds, framed 3-manifolds and spin 3-manifolds. The book is intended for readers interested in low-dimensional topology, and some familiarity with the basics is assumed.
Автор: Michael Kapovich Название: Hyperbolic Manifolds and Discrete Groups ISBN: 0817649123 ISBN-13(EAN): 9780817649128 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis.
Автор: Igor Nikolaev; Evgeny Zhuzhoma Название: Flows on 2-dimensional Manifolds ISBN: 3540660801 ISBN-13(EAN): 9783540660804 Издательство: Springer Рейтинг: Цена: 7680.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This account covers classical and new results. The volume comprises Poincare-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows.
Автор: Uwe Kaiser Название: Link Theory in Manifolds ISBN: 3540634355 ISBN-13(EAN): 9783540634355 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is an examination of link theory in manifolds. It looks at areas such as: link bordism in manifolds; surface structures for links in 3-manifolds; link invariants in Betti-trivial 3-manifolds; and 3-dimensional Betti-trivial submanifolds.
