Abstract
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].
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Gupta, M.K., Pandey, P.N. On hypersurface of a Finsler space with a special metric. Acta Math Hung 120, 165–177 (2008). https://doi.org/10.1007/s10474-007-7128-9
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DOI: https://doi.org/10.1007/s10474-007-7128-9