IJPAM: Volume 70, No. 5 (2011)
WITH GENERALIZED -METRIC
Department of Mathematics and Statistics
D.D.U. Gorakhpur University
Gorakhpur, (U.P.), 273009, INDIA
Department of Mathematics
Almora, Uttaranchal, INDIA
Abstract. M. Matsumoto introduced the concept of -Metric in the year, 1972. We have in 1999, the concept of generalized -metric by taking where is a purely Riemannian metric and all are one form . In the present paper, we had studied the condition under which a two-dimensional generalized - Metric be a Landsberg and Berwald spaces in which the main scalar I plays an important role.
Received: February 6, 2011
AMS Subject Classification: 53B40, 53C60
Key Words and Phrases: Finsler space with -metric, Berwald space, Landsberg space
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395