Jñānābha‎, Vol. 48 (2) (2018), 7-13

THE p^th FUNDAMENTAL FORM OF TANGENT RIEMANNIAN HYPERSURFACE OF β-CHANGED FINSLER SPACE BY h-VECTOR

H.S. Shukla and Manmohan Pandey

Department of Mathematics & Statistics

DDU Gorakhpur University, Gorakhpur, India

Email:profhsshuklagkp@rediffmail.com, manmohanp752@gmail.com

(Received : August 28, 2018; Revised: August 29, 2018)

Abstract

The purpose of this paper is to obtain the relation between p^th fundamental forms of tangent Riemannian hypersurfaces of (Mⁿ,L) and (Mⁿ,L^*), where L^* = ƒ(L,β) with ƒ as positively homogeneous function of degree one in L and . = b_i(x, y) yⁱ and b_i(x, y) are components of an h-vector satisfying ∂_jb_i = ρh_ij.

2010 Mathematics Subject Classi.cations: 53B40, 53C60.

Keywords and phrases: Fundamental forms,Tangent Riemannian Hypersurface, β-change, Finsler space, h-vector.

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