Hypersurfaces of a Projective Randers conformal change
Differential Geometry
2015-06-01 v1
Abstract
In the year 1984 Shibata investigated the theory of a change which is called a -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 remains to be a totally geodesic hypersurface 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.
Keywords
Cite
@article{arxiv.1505.07969,
title = {Hypersurfaces of a Projective Randers conformal change},
author = {V. K. Chaubey and Pradeep Kumar},
journal= {arXiv preprint arXiv:1505.07969},
year = {2015}
}