S. K. Tiwari 1 and Anamika Rai1
1Department of Mathematics, K. S. Saket Post Graduate College, Ayodhya, Faizabad 224123, India
Received:
May 4, 2015
Accepted:
October 22, 2015
Publication Date:
June 1, 2016
Download Citation:
||https://doi.org/10.6180/jase.2016.19.2.01
ABSTRACT
In the present paper, using the field of linear frame [1-3], we shall considered Finslerian hypersurfaces given by generalized β-change of Finsler metric. The generalized change of Finsler metric is given by L = f (L, β1), β2),…, βm)), where f is any positively homogeneous function of degree one in L and β1), β2),…, βm). Our purpose is to give some relations between the original Finslerian hypersurface and the other which is Finslerian given by generalized β-change. We have shown that generalizedchange makes three types of hypersurfaces invariant under certain conditions. Also, we have obtained the conditions under which this change will be a hyperplane of first, second and third kind.
Keywords:
Finslerian Hypersurfaces, Generalized change, Finsler Metric, Hyperplane
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