PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 36(50), pp. 87--91 (1984)
ON THE CURVATURE COLLINEATION IN FINSLER SPACE
S.P. SinghDepartment of Mathematics, Kenyatta Univ. College, Box 43844, Nairobi, Kenya
Abstract: 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 (MSC2000): 53B40
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