CONSTANT CURVATURE CONDITIONS FOR GENERALIZED KROPINA SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 229

Volume : 17 , Issue : 2
DOI:
Author :
Gauree Shanker (Department of Mathematics and Statistics, Central University of Punjab, Bhatinda - 151001, INDIA)
Ruchi Kaushik Sharma (Department of Mathematics & Statistics, Banasthali University, Banasthali - 304022, Rajasthan, INDIA)

Abstract

The classification of Finsler spaces of constant curvature is an interesting and important topic of research in differential geometry. In this paper we obtain necessary and sufficient conditions for generalized Kropina space to be of constant flag curvature.

Keywords and Phrases

Riemannian spaces, Killing vector fields, Finsler metrics, Kropina metrics, Generalized Kropina metrics.

A.M.S. subject classification

53B40, 53C60.

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