Riemannian Geometry and Geometric Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1995
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This textbook introduces techniques from nonlinear analysis at an early stage. Such techniques have recently become an indispensable tool in research in geometry, and they are treated here for the first time in a textbook. Topics treated include: Differentiable and Riemannian manifolds, metric properties, tensor calculus, vector bundles; the Hodge Theorem for de Rham cohomology; connections and curvature, the Yang-Mills functional; geodesics and Jacobi fields, Rauch comparison theorem and applications; Morse theory (including an introduction to algebraic topology), applications to the existence of closed geodesics; symmetric spaces and Kähler manifolds; the Palais-Smale condition and closed geodesics; Harmonic maps, minimal surfaces |
| Beschreibung: | 1 Online-Ressource (XI, 404 p) |
| ISBN: | 9783662031186 9783540571131 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-662-03118-6 |
Internformat
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| 245 | 1 | 0 | |a Riemannian Geometry and Geometric Analysis |c by Jürgen Jost |
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| 650 | 4 | |a Mathematics | |
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| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Differential Geometry | |
| 650 | 4 | |a Manifolds and Cell Complexes (incl. Diff.Topology) | |
| 650 | 4 | |a Analysis | |
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Datensatz im Suchindex
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| author | Jost, Jürgen |
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| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-03118-6 |
| format | Electronic eBook |
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| id | DE-604.BV042423239 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662031186 9783540571131 |
| issn | 0172-5939 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858656 |
| oclc_num | 1184494696 |
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| physical | 1 Online-Ressource (XI, 404 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1995 |
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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 Berlin, Heidelberg Springer Berlin Heidelberg 1995 1 Online-Ressource (XI, 404 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 This textbook introduces techniques from nonlinear analysis at an early stage. Such techniques have recently become an indispensable tool in research in geometry, and they are treated here for the first time in a textbook. Topics treated include: Differentiable and Riemannian manifolds, metric properties, tensor calculus, vector bundles; the Hodge Theorem for de Rham cohomology; connections and curvature, the Yang-Mills functional; geodesics and Jacobi fields, Rauch comparison theorem and applications; Morse theory (including an introduction to algebraic topology), applications to the existence of closed geodesics; symmetric spaces and Kähler manifolds; the Palais-Smale condition and closed geodesics; Harmonic maps, minimal surfaces Mathematics Global analysis (Mathematics) Systems theory Global differential geometry Mathematical optimization Cell aggregation / Mathematics Mathematical physics Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematical Methods in Physics Mathematik Mathematische Physik 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 1\p DE-604 https://doi.org/10.1007/978-3-662-03118-6 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 analysis (Mathematics) Systems theory Global differential geometry Mathematical optimization Cell aggregation / Mathematics Mathematical physics Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematical Methods in Physics Mathematik Mathematische Physik 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 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 analysis (Mathematics) Systems theory Global differential geometry Mathematical optimization Cell aggregation / Mathematics Mathematical physics Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematical Methods in Physics Mathematik Mathematische Physik Riemannsche Geometrie (DE-588)4128462-8 gnd Geometrische Analysis (DE-588)4156708-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Systems theory Global differential geometry Mathematical optimization Cell aggregation / Mathematics Mathematical physics Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematical Methods in Physics Mathematik Mathematische Physik Riemannsche Geometrie Geometrische Analysis |
| url | https://doi.org/10.1007/978-3-662-03118-6 |
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