Initiation to Global Finslerian Geometry



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Elsevier Science


Paru le : 2006-01-18



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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. - 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.
Pages
264 pages
Collection
n.c
Parution
2006-01-18
Marque
Elsevier Science
EAN papier
9780444521064
EAN PDF
9780080461700

Informations sur l'ebook
Nombre pages copiables
26
Nombre pages imprimables
26
Taille du fichier
4372 Ko
Prix
138,20 €
EAN EPUB SANS DRM
9780080461700

Prix
138,20 €

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