Jñānābha‎, Vol. 48 (2) (2018), 7-13

THE pth 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 pth fundamental forms of tangent Riemannian hypersurfaces of (Mn,L) and (Mn,L*), where L*ƒ(L,βwith ƒ as positively homogeneous function of degree one in L and . = bi(x, y) yi and bi(x, y) are components of an h-vector satisfying jbiρhij.

2010 Mathematics Subject Classi.cations: 53B40, 53C60.
Keywords and phrases: Fundamental forms,Tangent Riemannian Hypersurface, β-change, Finsler space, h-vector.