Hypersurface of a Finsler space with Randers change of special (α, β)-metric

Authors

  • P.N. Panday Nehru Gram Bharti (Deemed To Be University), Allahabad, India
  • G.P. Yadav University of Allahabad, India

Keywords:

Finsler space, hypersurface, (α,β)-metric, hyperplane of 1st, 2nd and 3rd Kinds

Abstract

The aim of the present paper is to discuss different kinds of hypersurfaces of the Finsler space with Randers change of special (α, β)-the metric of type L* = α + A1β + A2β(n+1)/αn +β (where A1 and A2 are constants) which is a generalization of the metric L* = α + β + k β2/α + β considered in [12]. We have obtained conditions for the hypersurface to be a hyperplane of first, second, or third kinds.

Author Biographies

P.N. Panday, Nehru Gram Bharti (Deemed To Be University), Allahabad, India

Vice-Chancellor

G.P. Yadav, University of Allahabad, India

Department of Mathematics

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Published

2019-01-08

Issue

Vol. 11(60) No. 2 (2018)

Section

MATHEMATICS