Journal of the Ramanujan Mathematical Society

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Hypersurfaces of h-Conformally Flat Recurrent Finsler Spaces


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

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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.
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  • Hypersurfaces of h-Conformally Flat Recurrent Finsler Spaces

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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.