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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2012; 52(1): 81-89

Published online March 23, 2012

Copyright © Kyungpook Mathematical Journal.

Projective Change between Two Finsler Spaces with $(alpha, eta)$-metric

Narasimhamurthy Senajji Kampalappa, Vasantha Dogehalli My- larappa

Department of Mathematics, Kuvempu University, Shankaraghatta - 577451, Shiv- amogga, Karnataka, India

Received: March 23, 2012; Revised: March 23, 2012; Accepted: March 23, 2012

Abstract

In the present paper, we find the conditions to characterize projective change between two $(alpha, eta)$-metrics, such as Matsumoto metric $L=frac{alpha^2}{alpha-eta}$ and Randers metric $ar{L}= ar{alpha}+ar{eta}$ on a manifold with dim $n>2$, where $alpha$ and $ar{alpha}$ are two Riemannian metrics, $eta$ and $ar{eta}$ are two non-zero 1-forms.

Keywords: Projective change, Matsumoto metric, Randers metric, Douglas metric, Locally Minkowski space