Автор: Ralph Abraham; Jerrold E. Marsden; Tudor Ratiu Название: Manifolds, Tensor Analysis, and Applications ISBN: 1461269903 ISBN-13(EAN): 9781461269908 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory.
Автор: Burak Ozbagci; Andr?s Stipsicz Название: Surgery on Contact 3-Manifolds and Stein Surfaces ISBN: 3642061842 ISBN-13(EAN): 9783642061844 Издательство: Springer Рейтинг: Цена: 18161.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The groundbreaking results of the near past - Donaldson's result on Lef- schetz pencils on symplectic manifolds and Giroux's correspondence be- tween contact structures and open book decompositions - brought a top- ological flavor to global symplectic and contact geometry. This topological aspect is strengthened by the existing results of Weinstein and Eliashberg (and Gompf in dimension 4) on handle attachment in the symplectic and Stein category, and by Giroux's theory of convex surfaces, enabling us to perform surgeries on contact 3-manifolds. The main objective of these notes is to provide a self-contained introduction to the theory of surgeries one can perform on contact 3-manifolds and Stein surfaces. We will adopt a very topological point of view based on handlebody theory, in particular, on Kirby calculus for 3- and 4-dimensionalmanifolds. Surgery is a constructive method by its very nature. Applying it in an intricate way one can see what can be done. These results are nicely com- plemented by the results relying on gauge theory - a theory designed to prove that certain things cannot be done. We will freely apply recent results of gauge theory without a detailed introduction to these topics; we will be content with a short introduction to some forms of Seiberg-Witten theory and some discussions regarding Heegaard Floer theory in two Appendices.
Автор: Alexander Schmitt Название: Affine Flag Manifolds and Principal Bundles ISBN: 3034803095 ISBN-13(EAN): 9783034803090 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Affine flag manifolds are infinite dimensional versions of familiar objects such as Gra mann varieties. The book features lecture notes, survey articles, and research notes - based on workshops held in Berlin, Essen, and Madrid - explaining the significance of these and related objects (such as double affine Hecke algebras and affine Springer fibers) in representation theory (e.g., the theory of symmetric polynomials), arithmetic geometry (e.g., the fundamental lemma in the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter spaces for principal bundles). Novel aspects of the theory of principal bundles on algebraic varieties are also studied in the book.
Автор: Stephen Wiggins; G. Haller; I. Mezic Название: Normally Hyperbolic Invariant Manifolds in Dynamical Systems ISBN: 038794205X ISBN-13(EAN): 9780387942056 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic 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.
Автор: Krzysztof Galicki; Santiago R. Simanca Название: Riemannian Topology and Geometric Structures on Manifolds ISBN: 0817647422 ISBN-13(EAN): 9780817647421 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kahler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory.
Автор: Katsuhiro Shiohama; Takashi Sakai; Toshikazu Sunad Название: Curvature and Topology of Riemannian Manifolds ISBN: 3540167706 ISBN-13(EAN): 9783540167709 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Freedman Michael H., Quinn Frank Название: Topology of 4-Manifolds (PMS-39) ISBN: 0691602891 ISBN-13(EAN): 9780691602899 Издательство: Wiley Рейтинг: Цена: 7603.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. Recognition for this work includes the award of the Fields Medal of t
Автор: Futaki Название: Geometry and Topology of Manifolds ISBN: 443156019X ISBN-13(EAN): 9784431560197 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincar? conjecture, the Yau–Tian–Donaldson conjecture, and the Willmore conjecture. There are still many important and challenging unsolved problems including, among others, the Strominger–Yau–Zaslow conjecture on mirror symmetry, the relative Yau–Tian–Donaldson conjecture in K?hler geometry, the Hopf conjecture, and the Yau conjecture on the first eigenvalue of an embedded minimal hypersurface of the sphere. For the younger generation to approach such problems and obtain the required techniques, it is of the utmost importance to provide them with up-to-date information from leading specialists.
The geometry conference for the friendship of China and Japan has achieved this purpose during the past 10 years. Their talks deal with problems at the highest level, often accompanied with solutions and ideas, which extend across various fields in Riemannian geometry, symplectic and contact geometry, and complex geometry.
Автор: Klaus Johannson Название: Topology and Combinatorics of 3-Manifolds ISBN: 3540590633 ISBN-13(EAN): 9783540590637 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This study of the combinatorial structures of 3-manifolds focuses specifically on Heegard graphs in Haken 3-manifolds. These graphs fix not only a combinatorial structure, but also a presentation for the fundamental group of the underlying 3-manifold.
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