IJPAM: Volume 71, No. 4 (2011)

THE VARIATIONAL PROBLEM IN LAGRANGE SPACES
ENDOWED WITH $(\gamma, \beta)$ METRICS

T.N. Pandey$^1$, V.K. Chaubey$^2$
$^1$Department of Mathematics and Statistics
D.D.U. Gorakhpur University
Gorakhpur, U.P., 273009, INDIA


Abstract. In the present paper we studied the variational problem of Lagrange spaces with $(\gamma, \beta)$-metrics. The results follow the classical ones and some results of R. Miron concerning Lagrange spaces.

Received: April 29, 2011

AMS Subject Classification: 53B40, 53C60

Key Words and Phrases: Lagrange space, Finsler space with $(\gamma, \beta)$-metric, Euler-Lagrange equations

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 4