Riemannian Geometry and Geometric Analysis

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This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of...

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Detalhes bibliográficos
Principais autores:	Jost, Jürgen., SpringerLink (Online service)
Formato:	Digital
Publicado em:
Assuntos:	Geometria diferencial. Fisica matematica. Matemática.
Endereço do item:	http://dx.doi.org/10.1007/978-3-540-77341-2
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spelling	oai:localhost:123456789-1297982023-07-17T15:13:12Z Riemannian Geometry and Geometric Analysis Jost, Jürgen. SpringerLink (Online service) Geometria diferencial. Fisica matematica. Matemática. This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. From the reviews: "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. [..] The book is made more interesting by the perspectives in various sections." Mathematical Reviews 0 2022-10-06T07:51:15Z 2022-10-06T07:51:15Z 2008. Digital 514.7 J84r 9783540773412 197817 http://dx.doi.org/10.1007/978-3-540-77341-2 http://dx.doi.org/10.1007/978-3-540-77341-2
institution	Acervo SISBI
collection	SIGAA
topic	Geometria diferencial. Fisica matematica. Matemática.
spellingShingle	Geometria diferencial. Fisica matematica. Matemática. Jost, Jürgen. SpringerLink (Online service) Riemannian Geometry and Geometric Analysis
description	This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. From the reviews: "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. [..] The book is made more interesting by the perspectives in various sections." Mathematical Reviews
format	Digital
author	Jost, Jürgen. SpringerLink (Online service)
author_facet	Jost, Jürgen. SpringerLink (Online service)
author_sort	Jost, Jürgen.
title	Riemannian Geometry and Geometric Analysis
title_short	Riemannian Geometry and Geometric Analysis
title_full	Riemannian Geometry and Geometric Analysis
title_fullStr	Riemannian Geometry and Geometric Analysis
title_full_unstemmed	Riemannian Geometry and Geometric Analysis
title_sort	riemannian geometry and geometric analysis
publishDate	2022
url	http://dx.doi.org/10.1007/978-3-540-77341-2
work_keys_str_mv	AT jostjurgen riemanniangeometryandgeometricanalysis AT springerlinkonlineservice riemanniangeometryandgeometricanalysis
_version_	1771688952914247680

Riemannian Geometry and Geometric Analysis

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