Initiation to global Finslerian geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2006
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | North-Holland mathematical library
v. 68 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry. The first three chapters develop the basic notions and methods, introduced by the author, to reach the global problems in Finslerian Geometry. The next five chapters are independent of each other, and deal with among others the geometry of generalized Einstein manifolds, the classification of Finslerian manifolds of constant sectional curvatures. They also give a treatment of isometric, affine, projective and conformal vector fields on the unitary tangent fibre bundle. Key features - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular conection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle. - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular conection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle Includes bibliographical references (p. 243-245) and index |
| Beschreibung: | 1 Online-Ressource (xiii, 250 p.) |
| ISBN: | 9780444521064 0444521062 0080461700 9780080461700 |
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| 100 | 1 | |a Akbar-Zadeh, H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Initiation to global Finslerian geometry |c H. Akbar-Zadeh |
| 250 | |a 1st ed | ||
| 264 | 1 | |a Amsterdam |b Elsevier |c 2006 | |
| 300 | |a 1 Online-Ressource (xiii, 250 p.) | ||
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| 490 | 0 | |a North-Holland mathematical library |v v. 68 | |
| 500 | |a After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry. The first three chapters develop the basic notions and methods, introduced by the author, to reach the global problems in Finslerian Geometry. The next five chapters are independent of each other, and deal with among others the geometry of generalized Einstein manifolds, the classification of Finslerian manifolds of constant sectional curvatures. They also give a treatment of isometric, affine, projective and conformal vector fields on the unitary tangent fibre bundle. Key features - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular conection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle. - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular conection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle | ||
| 500 | |a Includes bibliographical references (p. 243-245) and index | ||
| 650 | 7 | |a MATHEMATICS / Geometry / Analytic |2 bisacsh | |
| 650 | 7 | |a Finsler spaces |2 fast | |
| 650 | 7 | |a Global differential geometry |2 fast | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast | |
| 650 | 4 | |a Finsler spaces | |
| 650 | 4 | |a Global differential geometry | |
| 650 | 4 | |a Manifolds (Mathematics) | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Akbar-Zadeh, H. |
| author_facet | Akbar-Zadeh, H. |
| author_role | aut |
| author_sort | Akbar-Zadeh, H. |
| author_variant | h a z haz |
| building | Verbundindex |
| bvnumber | BV042317349 |
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| ctrlnum | (ZDB-33-EBS)ocn162587078 (OCoLC)162587078 (DE-599)BVBBV042317349 |
| dewey-full | 516.3/75 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/75 |
| dewey-search | 516.3/75 |
| dewey-sort | 3516.3 275 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| id | DE-604.BV042317349 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444521064 0444521062 0080461700 9780080461700 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754339 |
| oclc_num | 162587078 |
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| physical | 1 Online-Ressource (xiii, 250 p.) |
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| publishDate | 2006 |
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| publisher | Elsevier |
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| series2 | North-Holland mathematical library |
| spelling | Akbar-Zadeh, H. Verfasser aut Initiation to global Finslerian geometry H. Akbar-Zadeh 1st ed Amsterdam Elsevier 2006 1 Online-Ressource (xiii, 250 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematical library v. 68 After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry. The first three chapters develop the basic notions and methods, introduced by the author, to reach the global problems in Finslerian Geometry. The next five chapters are independent of each other, and deal with among others the geometry of generalized Einstein manifolds, the classification of Finslerian manifolds of constant sectional curvatures. They also give a treatment of isometric, affine, projective and conformal vector fields on the unitary tangent fibre bundle. Key features - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular conection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle. - Theory of connections of vectors and directions on the unitary tangent fibre bundle. - Complete list of Bianchi identities for a regular conection of directions. - Geometry of generalized Einstein manifolds. - Classification of Finslerian manifolds. - Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle Includes bibliographical references (p. 243-245) and index MATHEMATICS / Geometry / Analytic bisacsh Finsler spaces fast Global differential geometry fast Manifolds (Mathematics) fast Finsler spaces Global differential geometry Manifolds (Mathematics) http://www.sciencedirect.com/science/book/9780444521064 Verlag Volltext |
| spellingShingle | Akbar-Zadeh, H. Initiation to global Finslerian geometry MATHEMATICS / Geometry / Analytic bisacsh Finsler spaces fast Global differential geometry fast Manifolds (Mathematics) fast Finsler spaces Global differential geometry Manifolds (Mathematics) |
| title | Initiation to global Finslerian geometry |
| title_auth | Initiation to global Finslerian geometry |
| title_exact_search | Initiation to global Finslerian geometry |
| title_full | Initiation to global Finslerian geometry H. Akbar-Zadeh |
| title_fullStr | Initiation to global Finslerian geometry H. Akbar-Zadeh |
| title_full_unstemmed | Initiation to global Finslerian geometry H. Akbar-Zadeh |
| title_short | Initiation to global Finslerian geometry |
| title_sort | initiation to global finslerian geometry |
| topic | MATHEMATICS / Geometry / Analytic bisacsh Finsler spaces fast Global differential geometry fast Manifolds (Mathematics) fast Finsler spaces Global differential geometry Manifolds (Mathematics) |
| topic_facet | MATHEMATICS / Geometry / Analytic Finsler spaces Global differential geometry Manifolds (Mathematics) |
| url | http://www.sciencedirect.com/science/book/9780444521064 |
| work_keys_str_mv | AT akbarzadehh initiationtoglobalfinsleriangeometry |