Finslerian Hypersurface and Generalized beta-Conformal Change of Finsler Metric
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In the present paper, we have studied the Finslerian hypersurfaces and generalized beta-conformal change of Finsler metric. The relations between the Finslerian hypersurface and the other which is Finslerian hypersurface given by generalized beta-conformal change have been obtained. We have also proved that generalized beta-conformal change makes three types of hypersurfaces invariant under certain conditions.
Abstract
In the present paper, we have studied the Finslerian hypersurfaces and generalized beta-conformal change of Finsler metric. The relations between the Finslerian hypersurface and the other which is Finslerian hypersurface given by generalized beta-conformal change have been obtained. We have also proved that generalized beta-conformal change makes three types of hypersurfaces invariant under certain conditions.
참고문헌 (13)
- M. Hashiguchi, "On conformal transformations of Finsler metrics", J. Math. Kyoto Univ, 16, pp.25~50 (1976)
- H. Izumi, "Conformal transformations of Finsler spaces I", Tensor (N.S.), 31, pp.33~41 (1977)
- H. Izumi, "Conformal transformations of Finsler spaces II", Tensor (N.S.), 34, pp.337~359 (1980)
- S. Kikuchi, "On the theory of subspace in a Finsler space", Tensor (N.S.), 2, pp.67~69 (1952)
- M. Kitayama, "Finslerian hypersurfaces and metric transformations", Tensor (N.S.), 60, pp.171~178 (1998)
- M. Kitayama, "Geometry of transformations of Finsler metrics", pp.2000
- M. S. Knebelman, "Conformal geometry of generalized metric spaces", Proc. Nat. Acad. Sci. USA, 15, pp.376~379 (1929)
- M. Matsumoto, "The induced and intrinsic Finsler connections of a hypersurface and Finslerian projective geometry", J. Math. Kyoto Univ, 25, pp.107~144 (1985)
- A. Moor, "Finsler raume von identischer torsion", Acta Sci. Math, 34, pp.279~288 (1973)
- B. N. Prasad, "The β-change of Finsler metric and imbedding classes of their tangent spaces", Tensor (N.S.), 74, pp.48~59 (2013)
- B. N. Prasad, "Finslerian hypersurfaces and β-change of Finsler metric", Acta Cienc. Indica Math, 35(3), pp.1055~1061 (2009)
- C. Shibata, "On invariant tensors of β-change of Finsler metrics", J. Math. Kyoto Univ, 24, pp.163~188 (1984)
- S. K. Tiwari, "The generalized β-change of Finsler metric", Interna-tional J. Contemp. Math. Sci, 9, pp.695~702 (2014)