IJPAM: Volume 103, No. 4 (2015)

ON THE CONFORMAL CHANGE OF DOUGLAS SPACE OF
SECOND KIND WITH CERTAIN $(\alpha, \beta)$-METRICS

Gauree Shanker$^1$, Deepti Choudhary$^2$
Department of Mathematics and Statistics
Banasthali University
Banasthali, Rajasthan, 304022, INDIA


Abstract. The Douglas space of second kind with an $(\alpha, \beta)$-metric was defined by I.Y. Lee [7]. In this paper, we prove that a Douglas space of second kind with an $(\alpha, \beta)$-metric is conformally transformed to a Douglas space of second kind. Further, we find the conditions under which the conformal change of Finsler space with Matsumoto and generalized Kropina metric is of Douglas space of second kind.

Received: March 8, 2015

AMS Subject Classification: 53B40, 53C60

Key Words and Phrases: conformal change, Douglas space, Douglas space of second kind, Matsumoto metric, generalized Kropina metric

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DOI: 10.12732/ijpam.v103i4.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 4
Pages: 613 -


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