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arXiv · 1505.07969

Hypersurfaces of a Projective Randers conformal change

V. K. Chaubey·Pradeep Kumar
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Abstract

In the year 1984 Shibata investigated the theory of a change which is called a $ \beta $-change of a Finsler metric. On the other hand in 1985 a systematic study of geometry of hypersurfaces in Finsler spaces was given by Matsumoto. In the present paper is to devoted to the study of a condition for a Randers conformal change to be projective and find out when a totally geodesic hypersurface $ F^{n-1} $ remains to be a totally geodesic hypersurface $ F^{n-1} $ under the projective Randers conformal change. Further obatined the condition under which a Finslerian hypersurfaces given by the projective Randers conformal change are projectively flat.

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V. K. Chaubey, Pradeep Kumar. 2015-05-29. Hypersurfaces of a Projective Randers conformal change. https://arxiv.org/abs/1505.07969

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