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Bibliographic Details
Main Author:	Petersen, Peter 1962- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham Springer [2016]
Edition:	Third edition
Series:	Graduate texts in mathematics 171
Subjects:	Mathematics Differential geometry Differential Geometry Mathematik Geometry, Riemannian Riemannsche Geometrie
Online Access:	BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (xviii, 499 Seiten) Illustrationen (teilweise farbig)
ISBN:	9783319266541
ISSN:	0072-5285
DOI:	10.1007/978-3-319-26654-1

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Record in the Search Index

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adam_text	RIEMANNIAN GEOMETRY / PETERSEN, PETER : 2016 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE 1. RIEMANNIAN METRICS.-2. DERIVATIVES 3. CURVATURE 4. EXAMPLES 5. GEODESICS AND DISTANCE 6. SECTIONAL CURVATURE COMPARISON I.-7. RICCI CURVATURE COMPARISON.-8. KILLING FIELDS 9.THE BOCHNER TECHNIQUE 10. SYMMETRIC SPACES AND HOLONOMY 11. CONVERGENCE 12. SECTIONAL CURVATURE COMPARISON II BIBLIOGRAPHY INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. RIEMANNIAN GEOMETRY / PETERSEN, PETER : 2016 ABSTRACT / INHALTSTEXT 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. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Petersen, Peter 1962- Verfasser (DE-588)118069292 aut Riemannian geometry Peter Petersen Third edition Cham Springer [2016] © 2016 1 Online-Ressource (xviii, 499 Seiten) Illustrationen (teilweise farbig) txt rdacontent c rdamedia cr rdacarrier Graduate texts in mathematics 171 0072-5285 Mathematics Differential geometry Differential Geometry Mathematik Geometry, Riemannian Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-3-319-26652-7 Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-79989-6 Graduate texts in mathematics 171 (DE-604)BV035421258 171 https://doi.org/10.1007/978-3-319-26654-1 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920297&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Petersen, Peter 1962- Riemannian geometry Graduate texts in mathematics Mathematics Differential geometry Differential Geometry Mathematik Geometry, Riemannian Riemannsche Geometrie (DE-588)4128462-8 gnd
subject_GND	(DE-588)4128462-8
title	Riemannian geometry
title_auth	Riemannian geometry
title_exact_search	Riemannian geometry
title_full	Riemannian geometry Peter Petersen
title_fullStr	Riemannian geometry Peter Petersen
title_full_unstemmed	Riemannian geometry Peter Petersen
title_short	Riemannian geometry
title_sort	riemannian geometry
topic	Mathematics Differential geometry Differential Geometry Mathematik Geometry, Riemannian Riemannsche Geometrie (DE-588)4128462-8 gnd
topic_facet	Mathematics Differential geometry Differential Geometry Mathematik Geometry, Riemannian Riemannsche Geometrie
url	https://doi.org/10.1007/978-3-319-26654-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028920297&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV035421258
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