IJPAM: Volume 108, No. 4 (2016)

NONHOLONOMIC FRAMES FOR FINSLER SPACE
WITH GENERALIZED KROPINA METRIC

Brijesh Kumar Tripathi$^1$, V.K. Chaubey$^2$, R.B. Tiwari$^3$
$^1$Department of Mathematics
L.E. College
Morbi, Samakathe Morbi-2, (Gujrat), 363642, INDIA
$^2$Department of Applied Sciences
Buddha Institute of Technology, GIDA
Gorakhpur, U.P., 273209, INDIA
$^3$Department of Mathematics
M.K.R.E.C.I.T., Ambedkar Nagar U.P., INDIA


Abstract. The purpose of present paper to determine the Finsler spaces due to deformation of generalized Kropina metric. Consequently, we obtain the non-holonomic frame for generalized Kropina metric with condition $ n\geq 1 $, such as $ L(\alpha, \beta)=\frac{\beta^{(n+1)}}{\alpha^{n}} $.

Received: April 30, 2016

AMS Subject Classification: 53C60

Key Words and Phrases: Finsler space with $ (\alpha, \beta) $-metrics, generalized Kropina metric, GL-metric, nonholonomic Finsler frame

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DOI: 10.12732/ijpam.v108i4.17 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: 2016
Volume: 108
Issue: 4
Pages: 921 - 928


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