Journal of Applied Science and Engineering

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S. K. Tiwari This email address is being protected from spambots. You need JavaScript enabled to view it.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

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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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