Riemannian Geometry and Geometric Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry,e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. It is a good introduction to Riemannian geometry. The book is made more interesting by the perspectives in various sections, where the author mentions the history and development of the material and provides the reader with references." Math. Reviews. The second edition contains a new chapter on variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. These topics are carefully and systematically developed, and the new edition contains a thorough treatment of the relevant background material, namely spin geometry and Dirac operators. The new material is based on a course "Geometry and Physics" at the University of Leipzig that was attented by graduate students, postdocs and researchers from other areas of mathematics. Much of the material is included here for the first time in a textbook, and the book will lead the reader to some of the hottest topics of contemporary mathematical research |
| Beschreibung: | 1 Online-Ressource (XIII, 458 p) |
| ISBN: | 9783662223857 9783540636540 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-662-22385-7 |
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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 |
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| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-22385-7 |
| edition | Second Edition |
| format | Electronic eBook |
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| id | DE-604.BV042423512 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662223857 9783540636540 |
| issn | 0172-5939 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858929 |
| oclc_num | 879623948 |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XIII, 458 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
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| publisher | Springer Berlin Heidelberg |
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| spelling | Jost, Jürgen Verfasser aut Riemannian Geometry and Geometric Analysis by Jürgen Jost Second Edition Berlin, Heidelberg Springer Berlin Heidelberg 1998 1 Online-Ressource (XIII, 458 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry,e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. It is a good introduction to Riemannian geometry. The book is made more interesting by the perspectives in various sections, where the author mentions the history and development of the material and provides the reader with references." Math. Reviews. The second edition contains a new chapter on variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. These topics are carefully and systematically developed, and the new edition contains a thorough treatment of the relevant background material, namely spin geometry and Dirac operators. The new material is based on a course "Geometry and Physics" at the University of Leipzig that was attented by graduate students, postdocs and researchers from other areas of mathematics. Much of the material is included here for the first time in a textbook, and the book will lead the reader to some of the hottest topics of contemporary mathematical research Mathematics Global differential geometry Differential Geometry Mathematik Geometrische Analysis (DE-588)4156708-0 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 s Geometrische Analysis (DE-588)4156708-0 s 1\p DE-604 https://doi.org/10.1007/978-3-662-22385-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jost, Jürgen Riemannian Geometry and Geometric Analysis Mathematics Global differential geometry Differential Geometry Mathematik Geometrische Analysis (DE-588)4156708-0 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd |
| subject_GND | (DE-588)4156708-0 (DE-588)4128462-8 |
| 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 by Jürgen Jost |
| title_fullStr | Riemannian Geometry and Geometric Analysis by Jürgen Jost |
| title_full_unstemmed | Riemannian Geometry and Geometric Analysis by Jürgen Jost |
| title_short | Riemannian Geometry and Geometric Analysis |
| title_sort | riemannian geometry and geometric analysis |
| topic | Mathematics Global differential geometry Differential Geometry Mathematik Geometrische Analysis (DE-588)4156708-0 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | Mathematics Global differential geometry Differential Geometry Mathematik Geometrische Analysis Riemannsche Geometrie |
| url | https://doi.org/10.1007/978-3-662-22385-7 |
| work_keys_str_mv | AT jostjurgen riemanniangeometryandgeometricanalysis |