Topology of Infinite-Dimensional Manifolds, Sakai Katsuro
Автор: Vladimir Turaev Название: Torsions of 3-dimensional Manifolds ISBN: 3034893981 ISBN-13(EAN): 9783034893985 Издательство: Springer Рейтинг: Цена: 13969.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "This is an excellent exposition about abelian Reidemeister torsions for three-manifolds." -Zentralblatt Math"This monograph contains a wealth of information many topologists will find very handy.
Автор: Hall, Graham Название: Four-Dimensional Manifolds and Projective Structure ISBN: 0367900424 ISBN-13(EAN): 9780367900427 Издательство: Taylor&Francis Рейтинг: Цена: 16843.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Baillon Paul Название: Differential Manifolds ISBN: 9814449563 ISBN-13(EAN): 9789814449564 Издательство: World Scientific Publishing Рейтинг: Цена: 11246.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Differential Manifold is the framework of particle physics and astrophysics nowadays. It is important for all research physicists to be well accustomed to it and even experimental physicists should be able to manipulate equations and expressions in that framework.This book gives a comprehensive description of the basics of differential manifold with a full proof of any element. A large part of the book is devoted to the basic mathematical concepts in which all necessary for the development of the differential manifold is expounded and fully proved.This book is self-consistent: it starts from first principles. The mathematical framework is the set theory with its axioms and its formal logic. No special knowledge is needed.
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: Sakai Katsuro Название: Topology of Infinite-Dimensional Manifolds ISBN: 9811575746 ISBN-13(EAN): 9789811575747 Издательство: Springer Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Chapter 1: Preliminaries and Background Results.- Chapter 2: Fundamental Results on Infinite-Dimensional Manifolds.- Chapter 3: Characterizations of Hilbert Manifolds and Hilbert Cube Manifolds.- Chapter 4: Triangulation of Hilbert Cube Manifolds and Related Topics.- Chapter 5: Manifolds Modeled on Homotopy Dense Subspaces of Hilbert Spaces.- Chapter 6: Manifolds Modeled on Direct Limits and Combinatorial Manifold.- Appendex: PL n-Manifolds and Combinatorial n-Manifolds.- Epilogue.- Bibliography.- Index.
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.
Автор: Stern Название: Introduction to Geometry and Topology ISBN: 3034809824 ISBN-13(EAN): 9783034809825 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the nature of deeper topological problems. The second chapter of the book introduces manifolds and Lie groups, and examines a wide assortment of examples. Further discussion explores tangent bundles, vector bundles, differentials, vector fields, and Lie brackets of vector fields. This discussion is deepened and expanded in the third chapter, which introduces the de Rham cohomology and the oriented integral and gives proofs of the Brouwer Fixed-Point Theorem, the Jordan-Brouwer Separation Theorem, and Stokes's integral formula. The fourth and final chapter is devoted to the fundamentals of differential geometry and traces the development of ideas from curves to submanifolds of Euclidean spaces. Along the way, the book discusses connections and curvature--the central concepts of differential geometry. The discussion culminates with the Gau? equations and the version of Gau?'s theorema egregium for submanifolds of arbitrary dimension and codimension. This book is primarily aimed at advanced undergraduates in mathematics and physics and is intended as the template for a one- or two-semester bachelor's course.
Автор: A.A. Ranicki; A.A. Ranicki; A.J. Casson; D.P. Sull Название: The Hauptvermutung Book ISBN: 9048147352 ISBN-13(EAN): 9789048147359 Издательство: Springer Рейтинг: Цена: 24450.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Hauptvermutung is the conjecture that any two triangulations of a poly- hedron are combinatorially equivalent. Unfortunately, the published record of the manifold Hauptvermutung has been incomplete, as was forcefully pointed out by Novikov in his lecture at the Browder 60th birthday conference held at Princeton in March 1994.
Автор: R.G. Burns; B.A. Dubrovin; A.T. Fomenko; S.P. Novi Название: Modern Geometry— Methods and Applications ISBN: 1461270111 ISBN-13(EAN): 9781461270119 Издательство: Springer Рейтинг: Цена: 9776.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: ?lvarez L?pez Название: Generic Coarse Geometry of Leaves ISBN: 3319941313 ISBN-13(EAN): 9783319941318 Издательство: Springer Рейтинг: Цена: 5589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants.
Описание: Putting constraints on the nature of the interaction between nonsingular gradient - like fields and the boundary of a smooth compact manifold have implications for the topology of the manifold, this book describes these implications.
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