CONSTANT CURVATURE CONDITIONS FOR GENERALIZED KROPINA SPACES

Gauree Shanker; Ruchi Kaushik Sharma

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

Volume 17, Issue 2 Pages 123-134 August 30, 2021 286 downloads

Article overview

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 spacesKilling vector fieldsFinsler metricsKropina metricsGeneralized Kropina metrics.

AMS Subject Classification

53B40, 53C60.

Reference information

How to Cite

Gauree Shanker, Ruchi Kaushik Sharma (2021). CONSTANT CURVATURE CONDITIONS FOR GENERALIZED KROPINA SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 17(2), 123-134.

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