Intrinsic Theory of Projective Changes in Finsler Geometry

Details Intrinsic Theory of Projective Changes in Finsler Geometry Intrinsic Theory of Projective Changes in Finsler Geometry

2009-04-09

arxiv.org/abs/0904.1602v1

Mathematics

Differential Geometry

19 pages, Latex file

Scientific paper

The aim of the present paper is to provide an intrinsic investigation of projective changes in Finlser geometry, following the pullback formalism. Various known local results are generalized and other new intrinsic results are obtained. Nontrivial characterizations of projective changes are given. The fundamental projectively invariant tensors, namely, the projective deviation tensor, the Weyl torsion tensor, the Weyl curvature tensor and the Douglas tensor are investigated. The properties of these tensors and their interrelationships are obtained. Projective connections and projectively flat manifolds are characterized. The present work is entirely intrinsic (free from local coordinates).

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