Lectures on Finsler geometry:
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
©2001
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 299-304) and index In 1854, B. Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P. Finsler studied the variation problem in regular metric spaces. Around 1926, L. Berwald extended Riemann's notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then, Finsler geometry has developed steadily. In his Paris address in 1900, D. Hilbert formulated 23 problems, the 4th and 23rd problems being in Finsler's category. Finsler geometry has broader applications in many areas of science and will continue to develop through the efforts of many geometers around the world. Usually, the methods employed in Finsler geometry involve very complicated tensor computations. Sometimes this discourages beginners. Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern geometry point of view. The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces and Gromov's Hausdorff convergence theory |
| Beschreibung: | 1 Online-Ressource (xiv, 307 pages) |
| ISBN: | 1281960659 9781281960658 9789810245306 9789812811622 9810245300 9812811621 |
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| 245 | 1 | 0 | |a Lectures on Finsler geometry |c Zhongmin Shen |
| 264 | 1 | |a Singapore |b World Scientific |c ©2001 | |
| 300 | |a 1 Online-Ressource (xiv, 307 pages) | ||
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| 500 | |a Includes bibliographical references (pages 299-304) and index | ||
| 500 | |a In 1854, B. Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P. Finsler studied the variation problem in regular metric spaces. Around 1926, L. Berwald extended Riemann's notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then, Finsler geometry has developed steadily. In his Paris address in 1900, D. Hilbert formulated 23 problems, the 4th and 23rd problems being in Finsler's category. Finsler geometry has broader applications in many areas of science and will continue to develop through the efforts of many geometers around the world. Usually, the methods employed in Finsler geometry involve very complicated tensor computations. Sometimes this discourages beginners. Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern geometry point of view. The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces and Gromov's Hausdorff convergence theory | ||
| 650 | 4 | |a Finsler, Espaces de | |
| 650 | 4 | |a Géométrie différentielle | |
| 650 | 7 | |a MATHEMATICS / Geometry / Analytic |2 bisacsh | |
| 650 | 7 | |a Finsler spaces |2 fast | |
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| 650 | 7 | |a Géométrie différentielle |2 rvm | |
| 650 | 4 | |a Finsler spaces | |
| 650 | 4 | |a Geometry, Differential | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Shen, Zhongmin |
| author_facet | Shen, Zhongmin |
| author_role | aut |
| author_sort | Shen, Zhongmin |
| author_variant | z s zs |
| building | Verbundindex |
| bvnumber | BV043090962 |
| classification_rvk | SK 370 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)261336333 (DE-599)BVBBV043090962 |
| dewey-full | 516.3/73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/73 |
| dewey-search | 516.3/73 |
| dewey-sort | 3516.3 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:08Z |
| institution | BVB |
| isbn | 1281960659 9781281960658 9789810245306 9789812811622 9810245300 9812811621 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028515154 |
| oclc_num | 261336333 |
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| physical | 1 Online-Ressource (xiv, 307 pages) |
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| publishDate | 2001 |
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| publisher | World Scientific |
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| spelling | Shen, Zhongmin Verfasser aut Lectures on Finsler geometry Zhongmin Shen Singapore World Scientific ©2001 1 Online-Ressource (xiv, 307 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 299-304) and index In 1854, B. Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P. Finsler studied the variation problem in regular metric spaces. Around 1926, L. Berwald extended Riemann's notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then, Finsler geometry has developed steadily. In his Paris address in 1900, D. Hilbert formulated 23 problems, the 4th and 23rd problems being in Finsler's category. Finsler geometry has broader applications in many areas of science and will continue to develop through the efforts of many geometers around the world. Usually, the methods employed in Finsler geometry involve very complicated tensor computations. Sometimes this discourages beginners. Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern geometry point of view. The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces and Gromov's Hausdorff convergence theory Finsler, Espaces de Géométrie différentielle MATHEMATICS / Geometry / Analytic bisacsh Finsler spaces fast Geometry, Differential fast Finsler, Espaces de rvm Géométrie différentielle rvm Finsler spaces Geometry, Differential Finsler-Raum (DE-588)4154449-3 gnd rswk-swf Finsler-Raum (DE-588)4154449-3 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 981-02-4531-9 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235868 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Shen, Zhongmin Lectures on Finsler geometry Finsler, Espaces de Géométrie différentielle MATHEMATICS / Geometry / Analytic bisacsh Finsler spaces fast Geometry, Differential fast Finsler, Espaces de rvm Géométrie différentielle rvm Finsler spaces Geometry, Differential Finsler-Raum (DE-588)4154449-3 gnd |
| subject_GND | (DE-588)4154449-3 |
| title | Lectures on Finsler geometry |
| title_auth | Lectures on Finsler geometry |
| title_exact_search | Lectures on Finsler geometry |
| title_full | Lectures on Finsler geometry Zhongmin Shen |
| title_fullStr | Lectures on Finsler geometry Zhongmin Shen |
| title_full_unstemmed | Lectures on Finsler geometry Zhongmin Shen |
| title_short | Lectures on Finsler geometry |
| title_sort | lectures on finsler geometry |
| topic | Finsler, Espaces de Géométrie différentielle MATHEMATICS / Geometry / Analytic bisacsh Finsler spaces fast Geometry, Differential fast Finsler, Espaces de rvm Géométrie différentielle rvm Finsler spaces Geometry, Differential Finsler-Raum (DE-588)4154449-3 gnd |
| topic_facet | Finsler, Espaces de Géométrie différentielle MATHEMATICS / Geometry / Analytic Finsler spaces Geometry, Differential Finsler-Raum |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235868 |
| work_keys_str_mv | AT shenzhongmin lecturesonfinslergeometry |