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A Panoramic View of Riemannian Geometry, Marcel Berger


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Автор: Marcel Berger
Название:  A Panoramic View of Riemannian Geometry
ISBN: 9783642621215
Издательство: Springer
Классификация: ISBN-10: 364262121X
Обложка/Формат: Paperback
Страницы: 824
Вес: 1.17 кг.
Дата издания: 14.11.2012
Язык: English
Размер: 234 x 156 x 43
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann.


Panoramic Vision / Sensors, Theory, and Applications

Автор: Faugeras O., Benosman Ryad, Kang Sing B.
Название: Panoramic Vision / Sensors, Theory, and Applications
ISBN: 0387951113 ISBN-13(EAN): 9780387951119
Издательство: Springer
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Цена: 26552.00 р.
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Описание: This book features representative work in the design of panoramic image capturing systems, the theory involved in the imaging process, and applications that use panoramic images. This book allows the reader to understand the more technical aspects of panoramic vision, such as sensor design and imaging techniques.

Riemannian Geometry

Автор: Peter Petersen
Название: Riemannian Geometry
ISBN: 1441921230 ISBN-13(EAN): 9781441921239
Издательство: Springer
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Цена: 6981.00 р.
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Описание:

Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research. This book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stokes theorem. Various exercises are scattered throughout the text, helping motivate readers to deepen their understanding of the subject.

Important additions to this new edition include:

* A completely new coordinate free formula that is easily remembered, and is, in fact, the Koszul formula in disguise;

* An increased number of coordinate calculations of connection and curvature;

* General fomulas for curvature on Lie Groups and submersions;

* Variational calculus has been integrated into the text, which allows for an early treatment of the Sphere theorem using a forgottten proof by Berger;

* Several recent results about manifolds with positive curvature.

From reviews of the first edition:

"The book can be highly recommended to all mathematicians who want to get a more profound idea about the most interesting

achievements in Riemannian geometry. It is one of the few comprehensive sources of this type."

- Bernd Wegner, Zentralblatt

Singular Semi-Riemannian Geometry

Автор: D.N. Kupeli
Название: Singular Semi-Riemannian Geometry
ISBN: 0792339967 ISBN-13(EAN): 9780792339960
Издательство: Springer
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Цена: 10760.00 р.
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Описание: Provides an exposition of singular semi-Riemannian geometry, the study of a smooth manifold furnished with a degenerate (singular) metric tensor of arbitrary signature. This book is intended for graduate students of differential geometry, who have some background knowledge on the subject of complex manifolds.

Variational Problems in Riemannian Geometry

Автор: Paul Baird; Ahmad El Soufi; Ali Fardoun; Rachid Re
Название: Variational Problems in Riemannian Geometry
ISBN: 3034896409 ISBN-13(EAN): 9783034896405
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume has grown from a conference entitled Harmonic Maps, Minimal Sur- faces and Geometric Flows which was held at the Universite de Bretagne Occi- dentale from July 7th-12th, 2002, in the town of Brest in Brittany, France. We welcomed many distinguished mathematicians from around the world and a dy- namic meeting took place, with many fruitful exchanges of ideas. In order to produce a work that would have lasting value to the mathematical community, the organisers decided to invite a small number of participants to write in-depth articles around a common theme. These articles provide a balance between introductory surveys and ones that present the newest results that lie at the frontiers of research. We thank these mathematicians, all experts in their field, for their contributions. Such meetings depend on the support of national organisations and the local community and we would like to thank the following: the Ministere de l'Education Nationale, Ministere des Affaires Etrangeres, Centre National de Recherche Sci en- tifique (CNRS), Conseil Regional de Bretagne, Conseil General du Finistere, Com- munaute Urbaine de Brest, Universite de Bretagne Occidentale (UBO), Faculte des Sciences de l'UBO, Laboratoire de Mathematiques de l'UBO and the Departement de Mathematiques de l'UBO. Their support was generous and ensured the success of the meeting. We would also like to thank the members of the scientific committee for their advice and for their participation in the conception and composition of this volume: Pierre Berard, Jean-Pierre Bourguignon, Frederic Helein, Seiki Nishikawa and Franz Pedit.

Nonlinear Methods in Riemannian and K?hlerian Geometry

Автор: J?rgen Jost
Название: Nonlinear Methods in Riemannian and K?hlerian Geometry
ISBN: 3034877080 ISBN-13(EAN): 9783034877084
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Let us Iist some of the most important ones: - harmonic maps between Riemannian and Kahlerian manifolds - minimal surfaces in Riemannian manifolds - Monge-Ampere equations on Kahler manifolds - Yang-Mills equations in vector bundles over manifolds.

Geometric Control Theory and Sub-Riemannian Geometry

Автор: Gianna Stefani; Ugo Boscain; Jean-Paul Gauthier; A
Название: Geometric Control Theory and Sub-Riemannian Geometry
ISBN: 3319021311 ISBN-13(EAN): 9783319021317
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Presenting state-of-the-art research in a highly applicable field, this collection features papers by leading scientists combining these two methodologies, in honor of the groundbreaking work of Andrei Agrachev. It includes a chapter on open problems.

Contact Manifolds in Riemannian Geometry

Автор: D. E. Blair
Название: Contact Manifolds in Riemannian Geometry
ISBN: 3540076263 ISBN-13(EAN): 9783540076261
Издательство: Springer
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Цена: 3487.00 р.
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Singular Semi-Riemannian Geometry

Автор: D.N. Kupeli
Название: Singular Semi-Riemannian Geometry
ISBN: 9048146895 ISBN-13(EAN): 9789048146895
Издательство: Springer
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Цена: 19559.00 р.
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Sub-Riemannian Geometry

Автор: Andre Bellaiche; Jean-Jaques Risler
Название: Sub-Riemannian Geometry
ISBN: 3034899467 ISBN-13(EAN): 9783034899468
Издательство: Springer
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Цена: 19564.00 р.
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Описание:

Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen years, with motivations and ramifications in several parts of pure and applied mathematics, namely:
- control theory - classical mechanics - Riemannian geometry (of which sub-Riemannian geometry constitutes a natural generalization, and where sub-Riemannian metrics may appear as limit cases) - diffusion on manifolds - analysis of hypoelliptic operators - Cauchy-Riemann (or CR) geometry.
Although links between these domains had been foreseen by many authors in the past, it is only in recent years that sub- Riemannian geometry has been recognized as a possible common framework for all these topics.
This book provides an introduction to sub-Riemannian geometry and presents the state of the art and open problems in the field. It consists of five coherent and original articles by the leading specialists:
- Andre Bellaiche: The tangent space in sub-Riemannian geometry - Mikhael Gromov: Carnot-Caratheodory spaces seen from within - Richard Montgomery: Survey of singular geodesics - Hector J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers - Jean-Michel Coron: Stabilization of controllable systems

Some Nonlinear Problems in Riemannian Geometry

Автор: Thierry Aubin
Название: Some Nonlinear Problems in Riemannian Geometry
ISBN: 364208236X ISBN-13(EAN): 9783642082368
Издательство: Springer
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Цена: 18161.00 р.
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Описание: During the last few years, the field of nonlinear problems has undergone great development. This book consisting of the updated Grundlehren volume 252 by the author and of a newly written part, deals with some important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved. Each problem is explained, up-to-date results are given and proofs are presented. Thus, the reader is given access, for each specific problem, to its present status of solution as well as to the most up-to-date methods for approaching it. The main objective of the book is to explain some methods and new techniques, and to apply them. It deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber.


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