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arXiv · 1807.02317

Coordinate-free study of Finsler spaces of $H_{p}$-scalar curvature

A. Soleiman·S. G. Elgendi
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Abstract

The aim of the present paper is to provide an \emph{intrinsic} investigation of special Finsler spaces of $H_{p}$-scalar curvature and of $H_{p}\,$-constant curvature. Characterizations of such spaces are shown. Sufficient condition for Finsler space of $H_{p}$-scalar curvature to be of perpendicular scalar curvature is investigated. Necessary and sufficient condition under which a Finsler space of scalar curvature turns into a Finsler space of $H_{p}$-scalar curvature is given. Further, certain conditions under which a Finsler manifolds of $H_{p}$-scalar curvature and of scalar curvature reduce to a Finsler manifold of $H_{p}$-constant curvature are obtained. Finally, various examples are studied and constructed.

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BibTeXRIS

A. Soleiman, S. G. Elgendi. 2018-07-06. Coordinate-free study of Finsler spaces of $H_{p}$-scalar curvature. https://arxiv.org/abs/1807.02317

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