Intrinsic theory of projective changes in Finsler Geometry
Rendiconti del Circolo Matematico di Palermo • 1950
Publication Information
Authors
Nabil L. Youssef; S. H. ; A. Soleiman
Keywords
Pullback formalism; Projective change; Canonical spray; Barthel connection, Berwald connection; Weyl curvature tensor; Weyl torsion tensor; Douglas tensor, Projective connection; Projectively flat manifold.
Journal
Rendiconti del Circolo Matematico di Palermo
Publisher
Not Available
Volume
60
Issue
1
Pages
263-281
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
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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