| Edition |
1st ed. |
| Description |
1 online resource (xiii, 250 pages) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
North-Holland mathematical library, 0924-6509 ; v. 68 |
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North-Holland mathematical library ; v. 68. 0924-6509
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| Summary |
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 connection 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. |
| Contents |
Preface -- Introduction -- I. Linear Connections on a Space of Linear Elements -- II. Finslerian Manifolds -- III. Infinitesimal Transformation -- IV. Geometry of Generalized Einstein Manifolds -- V. Properties of Compact Finslerian Manifolds of Non-Negative Curvature -- VI. Finslerian Manifolds of Constant Sectional Curvatures -- VII. Projective Vector Fields on the Unitary Tangent Fibre Bundle -- VIII. Conformal Vector Fields on the Unitary Tangent Fibre Bundle -- References. |
| Bibliography |
Includes bibliographical references (pages 243-245) and index. |
| Note |
Print version record. |
| Subject |
Finsler spaces.
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Global differential geometry.
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Manifolds (Mathematics)
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Espaces de Finsler.
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Géométrie différentielle globale.
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Variétés (Mathématiques)
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MATHEMATICS -- Geometry -- Analytic.
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Finsler spaces
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Global differential geometry
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Manifolds (Mathematics)
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| Other Form: |
Print version: Akbar-Zadeh, H. Initiation to global Finslerian geometry. 1st ed. Amsterdam ; Boston : Elsevier, 2006 0444521062 9780444521064 (DLC) 2005055284 (OCoLC)62282396 |
| ISBN |
9780444521064 |
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0444521062 |
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0080461700 (electronic bk.) |
|
9780080461700 (electronic bk.) |
| Standard No. |
9780444521064 |
|
AU@ 000048131054 |
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CHNEW 001006654 |
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DEBBG BV036962357 |
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DEBBG BV039830225 |
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DEBBG BV042317349 |
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DEBSZ 276297555 |
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DEBSZ 48235593X |
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NZ1 12435166 |
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AU@ 000055713672 |
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