Geodesic
On the Curvature Collineation in Finsler Space
Publications de l'Institut Mathématique, _N_S_36 (1984) no. 50, p. 87

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We define $\bar x^i=x^i+v^i(x)\delta t$ as the $h$-curvature collineation of a Finsler space, supposing that the Lie derivative of Bervald's curvature tensor is equal to zero. Then we prove that every motion and every homothetic transformation admitted in a Finsler space are $H$-curvature collineations. Some special cases are also discussed.
Classification : 53B40 
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     author = {Suresh Prasad Singh},
     title = {On the {Curvature} {Collineation} in {Finsler} {Space}},
     journal = {Publications de l'Institut Math\'ematique},
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     publisher = {mathdoc},
     volume = {_N_S_36},
     number = {50},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1984_N_S_36_50_a11/}
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Suresh Prasad Singh. On the Curvature Collineation in Finsler Space. Publications de l'Institut Mathématique, _N_S_36 (1984) no. 50, p. 87 . http://geodesic.mathdoc.fr/item/PIM_1984_N_S_36_50_a11/