Overview
- Established textbook
- Continues to lead its readers to some of the hottest topics of contemporary mathematical research
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Reviews
From the reviews of the first and second editions: "... a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. ... The book is made more interesting by the perspectives in various sections, where the author mentions the history and development of the material and provides the reader with references" Mathematical Reviews " ...the tensorial and intrinsic methods are not separated in the discussions. Instead, the easiest to handle is used for the proofs. ...this symbiosis of these methods gives a deeper understanding for clever readers. ... The book develops the subjects very systematically and takes it beyond the standard introductory topics successfully. I recommend it to everybody, who is already acquainted with Riemannian Geometry, but wants to know it better and deeper or is interested in further nice investigations. Acta Scientarium Mathematicarum
"This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. It is a good introduction to Riemannian geometry. The book is made more interesting by the perspectives in various sections. where the author mentions the history and development of the material and provides the reader with references." Math. Reviews. The 2nd ed. includes new material on Ginzburg-Landau,Seibert-Witten functionals, spin geometry, Dirac operators.
From the reviews of the fifth edition:
"The text under consideration here – Riemannian Geometry And Geometric Analysis, 5th edition – is completely … a very worthy addition indeed to Jost’s textbook oeuvre. … This not only makes the presentation more contemporary than most texts, but also covers more topics closer to the frontiers of research. … the book actually ends up covering a lot more then it seems to, making it that much more impressive." (Andrew Locascio, The Mathematical Association of America, September, 2009)
Authors and Affiliations
Bibliographic Information
Book Title: Riemannian Geometry and Geometric Analysis
Authors: Jürgen Jost
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-662-04672-2
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
eBook ISBN: 978-3-662-04672-2Published: 09 March 2013
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 3
Number of Pages: XIII, 535
Number of Illustrations: 14 b/w illustrations
Topics: Differential Geometry, Theoretical, Mathematical and Computational Physics