Holdings: Riemannian geometry and geometric analysis

Riemannian geometry and geometric analysis:

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Bibliographic Details
Format:	Electronic eBook
Language:	English
Published:	Berlin ; Heidelberg Springer [2008]
Edition:	fifth edition
Series:	Universitext
Subjects:	Mathematik Mathematische Physik Mathematics Global differential geometry Mathematical and Computational Physics Mathematical physics Differential Geometry Riemannsche Geometrie Geometrische Analysis
Online Access:	DE-634 DE-91 DE-384 DE-703 DE-29 DE-739 Beschreibung für Leser Volltext Inhaltsverzeichnis
Physical Description:	1 Online-Ressource Illustrationen
ISBN:	9783540773412
DOI:	10.1007/978-3-540-77341-2

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MARC


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Record in the Search Index

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adam_text	GESCANNT DURCH CONTENTS 1 FOUNDATIONAL MATERIAL 1 1.1 MANIFOLDS AND DIFFERENTIABLE MANIFOLDS 1 1.2 TANGENT SPACES 6 1.3 SUBMANIFOLDS 10 1.4 RIEMANNIAN METRICS 13 1.5 EXISTENCE OF GEODESIES ON COMPACT MANIFOLDS 28 1.6 THE HEAT FLOW AND THE EXISTENCE OF GEODESIES 31 1.7 EXISTENCE OF GEODESIES ON COMPLETE MANIFOLDS 34 1.8 VECTOR BUNDLES 37 1.9 INTEGRAL CURVES OF VECTOR FIELDS. LIE ALGEBRAS 47 1.10 LIE GROUPS 56 1.11 SPIN STRUCTURES 62 EXERCISES FOR CHAPTER 1 83 2 DE RHAM COHOMOLOGY AND HARMONIC DIFFERENTIAL FORMS 87 2.1 THE LAPLACE OPERATOR 87 2.2 REPRESENTING COHOMOLOGY CLASSES BY HARMONIC FORMS 96 2.3 GENERALIZATIONS 104 2.4 THE HEAT FLOW AND HARMONIC FORMS 105 EXERCISES FOR CHAPTER 2 110 3 PARALLEL TRANSPORT, CONNECTIONS, AND COVARIANT DERIVATIVES 113 3.1 CONNECTIONS IN VECTOR BUNDLES 113 3.2 METRIC CONNECTIONS. THE YANG-MILLS FUNCTIONAL 124 3.3 THE LEVI-CIVITA CONNECTION 140 3.4 CONNECTIONS FOR SPIN STRUCTURES AND THE DIRAC OPERATOR 155 3.5 THE BOCHNER METHOD 162 3.6 THE GEOMETRY OF SUBMANIFOLDS. MINIMAL SUBMANIFOLDS 164 EXERCISES FOR CHAPTER 3 176 4 GEODESIES AND JACOBI FIELDS 179 4.1 1ST AND 2ND VARIATION OF ARC LENGTH AND ENERGY 179 4.2 JACOBI FIELDS 185 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/986536113 DIGITALISIERT DURCH * * CONTENTS XIII 8.3 REGULARITY RESULTS 504 EXERCISES FOR CHAPTER 8 517 9 VARIATIONAL PROBLEMS FROM QUANTUM FIELD THEORY 521 9.1 THE GINZBURG-LANDAU FUNCTIONAL 521 9.2 THE SEIBERG-WITTEN FUNCTIONAL 529 9.3 DIRAC-HARMONIC MAPS 536 EXERCISES FOR CHAPTER 9 543 A LINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 545 A.I SOBOLEV SPACES 545 A.2 LINEAR ELLIPTIC EQUATIONS 549 A.3 LINEAR PARABOLIC EQUATIONS 553 B FUNDAMENTAL GROUPS AND COVERING SPACES 557 BIBLIOGRAPHY 560 INDEX 576
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isbn	9783540773412
language	English
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spelling	Riemannian geometry and geometric analysis Jürgen Jost fifth edition Berlin ; Heidelberg Springer [2008] © 2008 1 Online-Ressource Illustrationen txt rdacontent c rdamedia cr rdacarrier Universitext Mathematik Mathematische Physik Mathematics Global differential geometry Mathematical and Computational Physics Mathematical physics Differential Geometry Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf Geometrische Analysis (DE-588)4156708-0 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 s Geometrische Analysis (DE-588)4156708-0 s DE-604 Jost, Jürgen 1956- Sonstige (DE-588)115774564 oth Erscheint auch als Druck-Ausgabe 978-3-540-77340-5 http://deposit.dnb.de/cgi-bin/dokserv?id=3030831&prov=M&dok_var=1&dok_ext=htm Beschreibung für Leser https://doi.org/10.1007/978-3-540-77341-2 Verlag URL des Erstveröffentlichers Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017446784&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Riemannian geometry and geometric analysis Mathematik Mathematische Physik Mathematics Global differential geometry Mathematical and Computational Physics Mathematical physics Differential Geometry Riemannsche Geometrie (DE-588)4128462-8 gnd Geometrische Analysis (DE-588)4156708-0 gnd
subject_GND	(DE-588)4128462-8 (DE-588)4156708-0
title	Riemannian geometry and geometric analysis
title_auth	Riemannian geometry and geometric analysis
title_exact_search	Riemannian geometry and geometric analysis
title_full	Riemannian geometry and geometric analysis Jürgen Jost
title_fullStr	Riemannian geometry and geometric analysis Jürgen Jost
title_full_unstemmed	Riemannian geometry and geometric analysis Jürgen Jost
title_short	Riemannian geometry and geometric analysis
title_sort	riemannian geometry and geometric analysis
topic	Mathematik Mathematische Physik Mathematics Global differential geometry Mathematical and Computational Physics Mathematical physics Differential Geometry Riemannsche Geometrie (DE-588)4128462-8 gnd Geometrische Analysis (DE-588)4156708-0 gnd
topic_facet	Mathematik Mathematische Physik Mathematics Global differential geometry Mathematical and Computational Physics Mathematical physics Differential Geometry Riemannsche Geometrie Geometrische Analysis
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3030831&prov=M&dok_var=1&dok_ext=htm https://doi.org/10.1007/978-3-540-77341-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017446784&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT jostjurgen riemanniangeometryandgeometricanalysis

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