Initiation to Global Finslerian Geometry (BOK)

Hassan Akbar-Zadeh

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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 include: 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 connection of directions; Geometry of generalized Einstein manifolds; Classification of Finslerian manifolds; and Affine, isometric, conformal and projective vector fields on the unitary tangent fibre bundle.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2006 Forfatter Hassan Akbar-Zadeh
Forlag
BERTRAMS PRINT ON DEMAND
ISBN 9780444521064
Antall sider 264 Dimensjoner 15,5cm x 23,4cm x 1,7cm
Vekt 522 gram Leverandør Bertram Trading Ltd