Initiation to Global Finslerian Geometry

Initiation to Global Finslerian Geometry on ScienceDirect(Opens new window)
Hardbound, 264 Pages
Published: JAN-2006
ISBN 10: 0-444-52106-2
ISBN 13: 978-0-444-52106-4
Imprint: ELSEVIER


By
Hassan Akbar-Zadeh, Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne, Paris., Director of Research at C.N.R.S., Paris, France.

Description
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.

Included in series
North-Holland Mathematical Library

Audience:
Graduate students, university libraries and researchers.


 
Last update: 14 Jan 2012