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Intrinsic theory of projective changes in Finsler Geometry

Rendiconti del Circolo Matematico di Palermo • 1950
العودة
معلومات البحث
المؤلفون Nabil L. Youssef; S. H. ; A. Soleiman
الكلمات المفتاحية Pullback formalism; Projective change; Canonical spray; Barthel connection, Berwald connection; Weyl curvature tensor; Weyl torsion tensor; Douglas tensor, Projective connection; Projectively flat manifold.
المجلة العلمية Rendiconti del Circolo Matematico di Palermo
الناشر Not Available
المجلد 60
العدد 1
الصفحات 263-281
publication.type International
رابط البحث Not Available
المواد المرفقة Not Available
الملخص
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).