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Riemannian Geometry

Riemannian Geometry PDF
Author: Peter Petersen
Publisher: Springer Science & Business Media
ISBN: 0387294031
Size: 77.62 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 405
View: 7133

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Riemannian Geometry

by Peter Petersen, Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry books, This volume introduces techniques and theorems of Riemannian geometry, and opens the way to advanced topics. The text combines the geometric parts of Riemannian geometry with analytic aspects of the theory, and reviews recent research. The updated second edition includes a new coordinate-free formula that is easily remembered (the Koszul formula in disguise); an expanded number of coordinate calculations of connection and curvature; general fomulas for curvature on Lie Groups and submersions; variational calculus integrated into the text, allowing for an early treatment of the Sphere theorem using a forgotten proof by Berger; recent results regarding manifolds with positive curvature.




Riemannian Geometry

Riemannian Geometry PDF
Author: Wilhelm P.A. Klingenberg
Publisher: Walter de Gruyter
ISBN: 3110905124
Size: 52.79 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 419
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Riemannian Geometry

by Wilhelm P.A. Klingenberg, Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry books, The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.




Riemannian Geometry

Riemannian Geometry PDF
Author: Takashi Sakai
Publisher: American Mathematical Soc.
ISBN: 9780821889565
Size: 14.57 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 358
View: 3093

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Riemannian Geometry

by Takashi Sakai, Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry books, This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in 1992. The author's intent behind the original book was to provide to advanced undergraduate and graudate students an introduction to modern Riemannian geometry that could also serve as a reference. The book begins with an explanation of the fundamental notion of Riemannian geometry. Special emphasis is placed on understandability and readability, to guide students who are new to this area. The remaining chapters deal with various topics in Riemannian geometry, with the main focus on comparison methods and their applications.




Riemannian Geometry

Riemannian Geometry PDF
Author: Isaac Chavel
Publisher: Cambridge University Press
ISBN: 1139452576
Size: 29.84 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages :
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Riemannian Geometry

by Isaac Chavel, Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry books, This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics. Also featured are Notes and Exercises for each chapter, to develop and enrich the reader's appreciation of the subject. This second edition, first published in 2006, has a clearer treatment of many topics than the first edition, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. The main themes here are the effect of the curvature on the usual notions of classical Euclidean geometry, and the new notions and ideas motivated by curvature itself. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.




Riemannian Geometry

Riemannian Geometry PDF
Author: Sylvestre Gallot
Publisher: Springer Science & Business Media
ISBN: 9783540204930
Size: 79.19 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 322
View: 2021

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Riemannian Geometry

by Sylvestre Gallot, Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry books, This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book features numerous exercises with full solutions and a series of detailed examples are picked up repeatedly to illustrate each new definition or property introduced.




Sub Riemannian Geometry

Sub Riemannian Geometry PDF
Author: André Bellaïche
Publisher: Springer Science & Business Media
ISBN: 9783764354763
Size: 25.91 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 393
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Sub Riemannian Geometry

by André Bellaïche, Sub Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Sub Riemannian Geometry books, 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: • André Bellaïche: The tangent space in sub-Riemannian geometry • Mikhael Gromov: Carnot-Carathéodory spaces seen from within • Richard Montgomery: Survey of singular geodesics • Héctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers • Jean-Michel Coron: Stabilization of controllable systems




Semi Riemannian Geometry With Applications To Relativity

Semi Riemannian Geometry With Applications to Relativity PDF
Author: Barrett O'Neill
Publisher: Academic Press
ISBN: 9780080570570
Size: 70.89 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 468
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Semi Riemannian Geometry With Applications To Relativity

by Barrett O'Neill, Semi Riemannian Geometry With Applications To Relativity Books available in PDF, EPUB, Mobi Format. Download Semi Riemannian Geometry With Applications To Relativity books, This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.




Riemannian Geometric Statistics In Medical Image Analysis

Riemannian Geometric Statistics in Medical Image Analysis PDF
Author: Xavier Pennec
Publisher: Academic Press
ISBN: 0128147253
Size: 39.13 MB
Format: PDF
Category : Computers
Languages : en
Pages : 636
View: 5716

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Riemannian Geometric Statistics In Medical Image Analysis

by Xavier Pennec, Riemannian Geometric Statistics In Medical Image Analysis Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometric Statistics In Medical Image Analysis books, Over the past 15 years, there has been a growing need in the medical image computing community for principled methods to process nonlinear geometric data. Riemannian geometry has emerged as one of the most powerful mathematical and computational frameworks for analyzing such data. Riemannian Geometric Statistics in Medical Image Analysis is a complete reference on statistics on Riemannian manifolds and more general nonlinear spaces with applications in medical image analysis. It provides an introduction to the core methodology followed by a presentation of state-of-the-art methods. Content includes: - The foundations of Riemannian geometric methods for statistics on manifolds with emphasis on concepts rather than on proofs - Applications of statistics on manifolds and shape spaces in medical image computing - Diffeomorphic deformations and their applications As the methods described apply to domains such as signal processing (radar signal processing and brain computer interaction), computer vision (object and face recognition), and other domains where statistics of geometric features appear, this book is suitable for researchers and graduate students in medical imaging, engineering and computer science. - A complete reference covering both the foundations and state-of-the-art methods - Edited and authored by leading researchers in the field - Contains theory, examples, applications, and algorithms - Gives an overview of current research challenges and future applications




Eigenvalues In Riemannian Geometry

Eigenvalues in Riemannian Geometry PDF
Author: Isaac Chavel
Publisher: Academic Press
ISBN: 9780080874340
Size: 34.69 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 362
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Eigenvalues In Riemannian Geometry

by Isaac Chavel, Eigenvalues In Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Eigenvalues In Riemannian Geometry books, The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.




A Panoramic View Of Riemannian Geometry

A Panoramic View of Riemannian Geometry PDF
Author: Marcel Berger
Publisher: Springer Science & Business Media
ISBN: 3642182453
Size: 38.59 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 824
View: 4769

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A Panoramic View Of Riemannian Geometry

by Marcel Berger, A Panoramic View Of Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download A Panoramic View Of Riemannian Geometry books, This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field. From the reviews "The book has intrinsic value for a student as well as for an experienced geometer. Additionally, it is really a compendium in Riemannian Geometry." --MATHEMATICAL REVIEWS