Intrinsic theory of projective changes in Finsler geometry |
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Authors: | Nabil L. Youssef S. H. Abed A. Soleiman |
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Affiliation: | 1. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt 2. Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
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Abstract: | The aim of the present paper is to provide an intrinsic investigation of projective changes in Finsler 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) (arXiv:?0904.?1602 [math.DG]). |
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