Riemannian geometry:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham
Springer
[2016]
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Ausgabe: | Third edition |
Schriftenreihe: | Graduate texts in mathematics
171 |
Schlagworte: | |
Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 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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Datensatz im Suchindex
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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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author | Petersen, Peter 1962- |
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dewey-sort | 3516.3 273 221 |
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discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-26654-1 |
edition | Third edition |
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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 |
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