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Geometry and Topology of Manifolds: Surfaces and Beyond, Angel Gonzalez-Preito, Juan Angel Rojo, Vicente Munoz


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Автор: Angel Gonzalez-Preito, Juan Angel Rojo, Vicente Munoz
Название:  Geometry and Topology of Manifolds: Surfaces and Beyond
ISBN: 9781470461324
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1470461323
Обложка/Формат: Paperback
Страницы: 481
Вес: 0.67 кг.
Дата издания: 30.11.2020
Серия: Graduate studies in mathematics
Язык: English
Размер: 257 x 179 x 27
Ключевые слова: Geometry,Topology
Подзаголовок: Surfaces and beyond
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Поставляется из: Англии
Описание: This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal.Each chapter briefly revisits basic results usually known to graduate students from an alternative perspective, focusing on surfaces. We provide full proofs of some remarkable results that sometimes are missed in basic courses (e.g., the construction of triangulations on surfaces, the classification of surfaces, the Gauss-Bonnet theorem, the degree-genus formula for complex plane curves, the existence of constant curvature metrics on conformal surfaces), and we give hints to questions about higher dimensional manifolds. Many examples and remarks are scattered through the book. Each chapter ends with an exhaustive collection of problems and a list of topics for further study.The book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections, which permeate a modern approach to geometry and topology of manifolds.
Дополнительное описание: Geometry|Topology



Piecewise Linear Structures On Topological Manifolds

Автор: Rudyak Yuli
Название: Piecewise Linear Structures On Topological Manifolds
ISBN: 9814733784 ISBN-13(EAN): 9789814733786
Издательство: World Scientific Publishing
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Цена: 12355.00 р.
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Описание: The study of triangulations of topological spaces has always been at the root of geometric topology.

Representing 3-Manifolds By Filling Dehn Surfaces

Автор: Vigara Ruben & Lozano-Rojo Alvaro
Название: Representing 3-Manifolds By Filling Dehn Surfaces
ISBN: 981472548X ISBN-13(EAN): 9789814725484
Издательство: World Scientific Publishing
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Цена: 17424.00 р.
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Описание: This Book Provides An Introduction To The Beautiful And Deep Subject Of Filling Dehn Surfaces In The Study Of Topological 3-Manifolds. This Book Presents, For The First Time In English And With All The Details, The Results From The Phd Thesis Of The First Author, Together With Some More Recent Results In The Subject. It Also Presents Some Key Ideas On How These Techniques Could Be Used On Other Subjects.Representing 3-Manifolds By Filling Dehn Surfaces Is Mostly Self-Contained Requiring Only Basic Knowledge On Topology And Homotopy Theory. The Complete And Detailed Proofs Are Illustrated With A Set Of More Than 600 Spectacular Pictures, In The Tradition Of Low-Dimensional Topology Books. It Is A Basic Reference For Researchers In The Area, But It Can Also Be Used As An Advanced Textbook For Graduate Students Or Even For Adventurous Undergraduates In Mathematics. The Book Uses Topological And Combinatorial Tools Developed Throughout The Twentieth Century Making The Volume A Trip Along The History Of Low-Dimensional Topology.

Geometry and Topology of Manifolds

Автор: Futaki
Название: Geometry and Topology of Manifolds
ISBN: 443156019X ISBN-13(EAN): 9784431560197
Издательство: Springer
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Цена: 16769.00 р.
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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.
Differential geometry: manifolds, curves, and surfaces

Автор: Berger, Marcel Gostiaux, Bernard
Название: Differential geometry: manifolds, curves, and surfaces
ISBN: 146126992X ISBN-13(EAN): 9781461269922
Издательство: Springer
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Цена: 10475.00 р.
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Описание: The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics.

Differential Geometry: Manifolds, Curves, and Surfaces

Автор: Marcel Berger; Silvio Levy; Bernard Gostiaux
Название: Differential Geometry: Manifolds, Curves, and Surfaces
ISBN: 0387966269 ISBN-13(EAN): 9780387966267
Издательство: Springer
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Цена: 10475.00 р.
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Описание: The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics.

Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary

Автор: Katz Gabriel
Название: Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary
ISBN: 981436875X ISBN-13(EAN): 9789814368759
Издательство: World Scientific Publishing
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Цена: от 8737.00 р.
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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.

Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory

Автор: Chris Wendl
Название: Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory
ISBN: 1108497403 ISBN-13(EAN): 9781108497404
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: Based on a series of lectures for students in topology, this book provides an entry point into the intersection theory of punctured holomorphic curves. Appendices featuring quick reference guides for applying the theory and self-contained proofs of key technical results also make it a valuable resource for researchers.

Manifolds And Local Structures: A General Theory

Автор: Marco Grandis
Название: Manifolds And Local Structures: A General Theory
ISBN: 9811233993 ISBN-13(EAN): 9789811233999
Издательство: World Scientific Publishing
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Цена: 18216.00 р.
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Описание: Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable 'elementary spaces', by means of partial homeomorphisms that fix the gluing conditions and form a sort of 'intrinsic atlas', instead of the more usual system of charts living in an external framework.An 'intrinsic manifold' is defined here as such an atlas, in a suitable category of elementary spaces: open euclidean spaces, or trivial bundles, or trivial vector bundles, and so on.This uniform approach allows us to move from one basis to another: for instance, the elementary tangent bundle of an open Euclidean space is automatically extended to the tangent bundle of any differentiable manifold. The same holds for tensor calculus.Technically, the goal of this book is to treat these structures as 'symmetric enriched categories' over a suitable basis, generally an ordered category of partial mappings.This approach to gluing structures is related to Ehresmann's one, based on inductive pseudogroups and inductive categories. A second source was the theory of enriched categories and Lawvere's unusual view of interesting mathematical structures as categories enriched over a suitable basis.

Geometry and Topology of Manifolds: 10th China-Japan Conference 2014

Автор: Futaki Akito, Miyaoka Reiko, Tang Zizhou
Название: Geometry and Topology of Manifolds: 10th China-Japan Conference 2014
ISBN: 4431567550 ISBN-13(EAN): 9784431567554
Издательство: Springer
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Цена: 13974.00 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 Poincare conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture.

Nonabelian Multiplicative Integration On Surfaces

Автор: Yekutieli Amnon
Название: Nonabelian Multiplicative Integration On Surfaces
ISBN: 9814663840 ISBN-13(EAN): 9789814663847
Издательство: World Scientific Publishing
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Цена: 9187.00 р.
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Описание: Nonabelian multiplicative integration on curves is a classical theory. This volume is about the 2-dimensional case, which is much more difficult.


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