Riemannian Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Schriftenreihe: | Graduate Texts in Mathematics
171 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is meant to be an introduction to Riemannian geometry. The reader is assumed to have some knowledge of standard manifold theory, including basic theory of tensors, forms, and Lie groups. At times we shall also assume familiarity with algebraic topology and de Rham cohomology. Specifically, we recommend that the reader is familiar with texts like [14] or[76, vol. 1]. For the readers who have only learned something like the first two chapters of [65], we have an appendix which covers Stokes' theorem, Cech cohomology, and de Rham cohomology. The reader should also have a nodding acquaintance with ordinary differential equations. For this, a text like [59] is more than sufficient. Most of the material usually taught in basic Riemannian geometry, as well as several more advanced topics, is presented in this text. Many of the theorems from Chapters 7 to 11 appear for the first time in textbook form. This is particularly surprising as we have included essentially only the material students ofRiemannian geometry must know. The approach we have taken deviates in some ways from the standard path. First and foremost, we do not discuss variational calculus, which is usually the sine qua non of the subject. Instead, we have taken a more elementary approach that simply uses standard calculus together with some techniques from differential equations |
| Beschreibung: | 1 Online-Ressource (X, 198 p) |
| ISBN: | 9781475764345 9781475764369 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-6434-5 |
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Datensatz im Suchindex
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| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-6434-5 |
| format | Electronic eBook |
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| id | DE-604.BV042421693 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475764345 9781475764369 |
| issn | 0072-5285 |
| language | English |
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| physical | 1 Online-Ressource (X, 198 p) |
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| publishDate | 1998 |
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| series2 | Graduate Texts in Mathematics |
| spelling | Petersen, Peter 1962- Verfasser (DE-588)118069292 aut Riemannian Geometry by Peter Petersen New York, NY Springer New York 1998 1 Online-Ressource (X, 198 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 171 0072-5285 This book is meant to be an introduction to Riemannian geometry. The reader is assumed to have some knowledge of standard manifold theory, including basic theory of tensors, forms, and Lie groups. At times we shall also assume familiarity with algebraic topology and de Rham cohomology. Specifically, we recommend that the reader is familiar with texts like [14] or[76, vol. 1]. For the readers who have only learned something like the first two chapters of [65], we have an appendix which covers Stokes' theorem, Cech cohomology, and de Rham cohomology. The reader should also have a nodding acquaintance with ordinary differential equations. For this, a text like [59] is more than sufficient. Most of the material usually taught in basic Riemannian geometry, as well as several more advanced topics, is presented in this text. Many of the theorems from Chapters 7 to 11 appear for the first time in textbook form. This is particularly surprising as we have included essentially only the material students ofRiemannian geometry must know. The approach we have taken deviates in some ways from the standard path. First and foremost, we do not discuss variational calculus, which is usually the sine qua non of the subject. Instead, we have taken a more elementary approach that simply uses standard calculus together with some techniques from differential equations Mathematics Global differential geometry Differential Geometry Mathematik Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-6434-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Petersen, Peter 1962- Riemannian Geometry Mathematics Global differential geometry Differential Geometry Mathematik 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 by Peter Petersen |
| title_fullStr | Riemannian Geometry by Peter Petersen |
| title_full_unstemmed | Riemannian Geometry by Peter Petersen |
| title_short | Riemannian Geometry |
| title_sort | riemannian geometry |
| topic | Mathematics Global differential geometry Differential Geometry Mathematik Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | Mathematics Global differential geometry Differential Geometry Mathematik Riemannsche Geometrie |
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