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.
