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Initiation to Global Finslerian Geometry by Hassan Akbar-Zadeh (Director of Research at C.N.R.S., Paris, France.) at Abbey's Bookshop,
Initiation to Global Finslerian Geometry
— —
Hassan Akbar-Zadeh (Director of Research at C.N.R.S., Paris, France.)

Initiation to Global Finslerian Geometry

Hassan Akbar-Zadeh (Director of Research at C.N.R.S., Paris, France.)

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English
Elsevier Science Ltd
18 January 2006
Analytic geometry
Series: North-Holland Mathematical Library
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.
By:  
Imprint:   Elsevier Science Ltd
Country of Publication:   United Kingdom
Volume:   v. 68
Dimensions:   Height: 225mm,  Width: 149mm,  Spine: 17mm
Weight:   520g
ISBN:   9780444521064
ISBN 10:   0444521062
Series:   North-Holland Mathematical Library
Pages:   264
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Chapter I: Linear Connections on a Space of Linear Elements Chapter II: Finslerian Manifolds Chapter III: Isometries and Affine Vector Fields on the Unitary Tangent Fibre Bundle Chapter IV: Geometry Of Generalized Einstein Manifolds Chapter V: Properties of Compact Finslerian Manifolds of Non-negative Curvature Chapter VI: Finslerian Manifolds of Constant Sectional Curvature [4] Chapter VII: Projective Vector Fields on the Unitary Tangent Fibre Bundle [3] Chapter VIII: Conformal vector fields on the unitary tangent fibre bundle References Index

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