On hypersurface of a Finsler space with a special metric

In 1980, H. Izumi 3] introduced the concept of an h-vector. For the Finsler space whose metric is transformed by an h-vector, B. N. Prasad 10] obtained the Cartan connection. On the other hand, M. Matsumoto 7] presented a systematic theory of Finslerian hypersurface. M. Kitayama 4] obtained certain results for the Finslerian hypersurface given by β-changes. The purpose of the present paper is to derive certain properties of a Finslerian hypersurface given by an h-vector. The terminologies and notations are referred to Matsumoto 8].