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
(Received : August 28, 2018; Revised: August 29, 2018)
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,β) with 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 ∂jbi = ρhij.
2010 Mathematics Subject Classi.cations: 53B40, 53C60.
Keywords and phrases: Fundamental forms,Tangent Riemannian Hypersurface, β-change, Finsler space, h-vector.