Riemannian geometry and geometric analysis:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
[2008]
|
| Ausgabe: | fifth edition |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-91 DE-384 DE-703 DE-29 DE-739 Beschreibung für Leser Volltext Inhaltsverzeichnis |
| Beschreibung: | 1 Online-Ressource Illustrationen |
| ISBN: | 9783540773412 |
| DOI: | 10.1007/978-3-540-77341-2 |
Internformat
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Datensatz im Suchindex
| _version_ | 1805092341107654656 |
|---|---|
| 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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| dewey-full | 516.373 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.373 |
| dewey-search | 516.373 |
| dewey-sort | 3516.373 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-540-77341-2 |
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| indexdate | 2024-07-20T10:10:03Z |
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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 |
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