Download E-books Initiation to Global Finslerian Geometry, Volume 68 (North-Holland Mathematical Library) PDF

After a quick description of the evolution of pondering on Finslerian geometry ranging from Riemann, Finsler, Berwald and Elie Cartan, the publication provides a transparent and exact therapy of this geometry. the 1st 3 chapters enhance the fundamental notions and techniques, brought by way of the writer, to arrive the worldwide difficulties in Finslerian Geometry. the subsequent 5 chapters are self sustaining of one another, and care for between others the geometry of generalized Einstein manifolds, the type of Finslerian manifolds of continuous sectional curvatures. additionally they supply a therapy of isometric, affine, projective and conformal vector fields at the unitary tangent fibre bundle.

Key features

- idea of connections of vectors and instructions at the unitary tangent fibre package deal.
- whole record of Bianchi identities for a typical conection of instructions.
- Geometry of generalized Einstein manifolds.
- type of Finslerian manifolds.
- Affine, isometric, conformal and projective vector fields at the unitary tangent fibre package.

- thought of connections of vectors and instructions at the unitary tangent fibre package deal.
- whole checklist of Bianchi identities for a customary conection of instructions.
- Geometry of generalized Einstein manifolds.
- type of Finslerian manifolds.
- Affine, isometric, conformal and projective vector fields at the unitary tangent fibre bundle.

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