An Introduction to Riemann-Finsler Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2000
|
| Schriftenreihe: | Graduate Texts in Mathematics
200 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So ardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe? It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a fruitful analogue of the sectional curvature. There is also a bewildering array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. This book focuses on the elementary but essential items among these results. Much thought has gone into making the account a teachable one |
| Beschreibung: | 1 Online-Ressource (XX, 435 p) |
| ISBN: | 9781461212683 9781461270706 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-1268-3 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1268-3 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461212683 9781461270706 |
| issn | 0072-5285 |
| language | English |
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| spelling | Bao, D. Verfasser aut An Introduction to Riemann-Finsler Geometry by D. Bao, S.-S. Chern, Z. Shen New York, NY Springer New York 2000 1 Online-Ressource (XX, 435 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 200 0072-5285 In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So ardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe? It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a fruitful analogue of the sectional curvature. There is also a bewildering array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. This book focuses on the elementary but essential items among these results. Much thought has gone into making the account a teachable one Mathematics Geometry Mathematik Finsler-Geometrie (DE-588)4451048-2 gnd rswk-swf Finsler-Geometrie (DE-588)4451048-2 s 1\p DE-604 Chern, S.-S. Sonstige oth Shen, Z. Sonstige oth https://doi.org/10.1007/978-1-4612-1268-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bao, D. An Introduction to Riemann-Finsler Geometry Mathematics Geometry Mathematik Finsler-Geometrie (DE-588)4451048-2 gnd |
| subject_GND | (DE-588)4451048-2 |
| title | An Introduction to Riemann-Finsler Geometry |
| title_auth | An Introduction to Riemann-Finsler Geometry |
| title_exact_search | An Introduction to Riemann-Finsler Geometry |
| title_full | An Introduction to Riemann-Finsler Geometry by D. Bao, S.-S. Chern, Z. Shen |
| title_fullStr | An Introduction to Riemann-Finsler Geometry by D. Bao, S.-S. Chern, Z. Shen |
| title_full_unstemmed | An Introduction to Riemann-Finsler Geometry by D. Bao, S.-S. Chern, Z. Shen |
| title_short | An Introduction to Riemann-Finsler Geometry |
| title_sort | an introduction to riemann finsler geometry |
| topic | Mathematics Geometry Mathematik Finsler-Geometrie (DE-588)4451048-2 gnd |
| topic_facet | Mathematics Geometry Mathematik Finsler-Geometrie |
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