Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Hypersurfaces of h-Conformally Flat Recurrent Finsler Spaces


Affiliations
1 Department of Mathematics, Kuvempu University, B.R. Project- 577 115 Shimoga Dist., Karnataka, India
     

   Subscribe/Renew Journal


In this paper we study the hyper surfaces of h-conformally flat Finsler spaces. We introduce and study the notion of an umbilical hyper surface of type K and obtain a condition for an umbilical hyper surfaces of constant curvature of h-conformally flat affinely connected hyper surface to be an umbilical hyper surface of type K. Also we show that an umbilical hyper surface of type K of a recurrent h-conformally flat Finsler space is Minkowskian if and only if it is of minimal variety.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 215

PDF Views: 0




  • Hypersurfaces of h-Conformally Flat Recurrent Finsler Spaces

Abstract Views: 215  |  PDF Views: 0

Authors

C. S. Bagewadi
Department of Mathematics, Kuvempu University, B.R. Project- 577 115 Shimoga Dist., Karnataka, India
H. G. Nagaraja
Department of Mathematics, Kuvempu University, B.R. Project- 577 115 Shimoga Dist., Karnataka, India

Abstract


In this paper we study the hyper surfaces of h-conformally flat Finsler spaces. We introduce and study the notion of an umbilical hyper surface of type K and obtain a condition for an umbilical hyper surfaces of constant curvature of h-conformally flat affinely connected hyper surface to be an umbilical hyper surface of type K. Also we show that an umbilical hyper surface of type K of a recurrent h-conformally flat Finsler space is Minkowskian if and only if it is of minimal variety.