Initiation to global Finslerian geometry
Hassan Akbar-Zadeh Doctorat d Etat en Mathématiques Pures June 1961 La Sorbonne Paris.
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.
Kategori:
Tahun:
2006
Edisi:
1st ed
Penerbit:
Elsevier
Bahasa:
english
Halaman:
265
ISBN 10:
0444521062
ISBN 13:
9780444521064
Nama seri:
North-Holland mathematical library 68
File:
DJVU, 1.06 MB
IPFS:
,
english, 2006
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