[PDF] Riemannian Geometry

Riemannian Geometry PDF
Author: Peter Petersen
Publisher: Springer
ISBN: 3319266543
Size: 28.75 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 499
View: 2369

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Riemannian Geometry

by Peter Petersen, release date 2016-03-18, Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry books, Intended for a one year course, this text serves as a single source, introducing readers 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. The book will appeal to a readership that have a basic knowledge of standard manifold theory, including tensors, forms, and Lie groups. Important revisions to the third edition include: a substantial addition of unique and enriching exercises scattered throughout the text; inclusion of an increased number of coordinate calculations of connection and curvature; addition of general formulas for curvature on Lie Groups and submersions; integration of variational calculus into the text allowing for an early treatment of the Sphere theorem using a proof by Berger; incorporation of several recent results about manifolds with positive curvature; presentation of a new simplifying approach to the Bochner technique for tensors with application to bound topological quantities with general lower curvature bounds. 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, ZbMATH




[PDF] Riemannian Geometry

Riemannian Geometry PDF
Author: Wilhelm Klingenberg
Publisher: Walter de Gruyter
ISBN: 9783110145939
Size: 34.86 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 409
View: 495

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Riemannian Geometry

by Wilhelm Klingenberg, release date 1995, 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. 35 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. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemańczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antic, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)




[PDF] Riemannian Geometry

Riemannian Geometry PDF
Author: Manfredo P. do Carmo
Publisher: Copernicus
ISBN:
Size: 12.43 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 300
View: 7344

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Riemannian Geometry

by Manfredo P. do Carmo, release date 1992, Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry books, "This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." ---Publicationes Mathematicae "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." ---Revue Romaine de Mathematiques Pures et Appliquees "This main-stream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." ---Monatshefte F. Mathematik




[PDF] Riemannian Geometry

Riemannian Geometry PDF
Author: Sylvestre Gallot
Publisher: Springer Science & Business Media
ISBN: 9783540204930
Size: 68.72 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 322
View: 4712

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Riemannian Geometry

by Sylvestre Gallot, release date 2004-07-30, 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.




[PDF] Riemannian Geometry And Geometric Analysis

Riemannian Geometry and Geometric Analysis PDF
Author: Jürgen Jost
Publisher: Springer
ISBN: 3319618601
Size: 20.24 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 697
View: 6980

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Riemannian Geometry And Geometric Analysis

by Jürgen Jost, release date 2017-10-13, Riemannian Geometry And Geometric Analysis Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry And Geometric Analysis books, This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature. From the reviews:“This book provides a very readable introduction to Riemannian geometry and geometric analysis... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome.” Mathematical Reviews “For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained. The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field.” Monatshefte für Mathematik




[PDF] An Introduction To Riemannian Geometry

An Introduction to Riemannian Geometry PDF
Author: Leonor Godinho
Publisher: Springer
ISBN: 3319086669
Size: 46.97 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 467
View: 2840

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An Introduction To Riemannian Geometry

by Leonor Godinho, release date 2014-07-26, An Introduction To Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download An Introduction To Riemannian Geometry books, Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.




[PDF] Riemannian Geometry

Riemannian Geometry PDF
Author: Luther Pfahler Eisenhart
Publisher: Princeton University Press
ISBN: 1400884217
Size: 64.18 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 272
View: 5833

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Riemannian Geometry

by Luther Pfahler Eisenhart, release date 2016-08-11, Riemannian Geometry Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry books, In his classic work of geometry, Euclid focused on the properties of flat surfaces. In the age of exploration, mapmakers such as Mercator had to concern themselves with the properties of spherical surfaces. The study of curved surfaces, or non-Euclidean geometry, flowered in the late nineteenth century, as mathematicians such as Riemann increasingly questioned Euclid's parallel postulate, and by relaxing this constraint derived a wealth of new results. These seemingly abstract properties found immediate application in physics upon Einstein's introduction of the general theory of relativity. In this book, Eisenhart succinctly surveys the key concepts of Riemannian geometry, addressing mathematicians and theoretical physicists alike.




[PDF] An Introduction To Differentiable Manifolds And Riemannian Geometry Revised

An Introduction to Differentiable Manifolds and Riemannian Geometry  Revised PDF
Author: William M. Boothby
Publisher: Gulf Professional Publishing
ISBN: 9780121160517
Size: 20.67 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 419
View: 295

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An Introduction To Differentiable Manifolds And Riemannian Geometry Revised

by William M. Boothby, release date 2003, An Introduction To Differentiable Manifolds And Riemannian Geometry Revised Books available in PDF, EPUB, Mobi Format. Download An Introduction To Differentiable Manifolds And Riemannian Geometry Revised books, The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject. Line and surface integrals Divergence and curl of vector fields




[PDF] Riemannian Geometry

Riemannian Geometry PDF
Author: Isaac Chavel
Publisher: Cambridge University Press
ISBN: 1139452576
Size: 75.11 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages :
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Riemannian Geometry

by Isaac Chavel, release date 2006-04-10, 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.




[PDF] Riemannian Geometry During The Second Half Of The Twentieth Century

Riemannian Geometry During the Second Half of the Twentieth Century PDF
Author: Marcel Berger
Publisher: American Mathematical Soc.
ISBN: 0821820524
Size: 51.42 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 182
View: 1741

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Riemannian Geometry During The Second Half Of The Twentieth Century

by Marcel Berger, release date 2000, Riemannian Geometry During The Second Half Of The Twentieth Century Books available in PDF, EPUB, Mobi Format. Download Riemannian Geometry During The Second Half Of The Twentieth Century books, In this book, Berger provides a survey of the main developments in Riemannian geometry in the last fifty years, focusing his main attention on the following five areas: Curvature and topology; the construction of and the classification of space forms; distinguished metrics, especially Einstein metrics; eigenvalues and eigenfunctions of the Laplacian; the study of periodic geodesics and the geodesic flow. Other topics are treated in less detail in a separate section.