Infinitesimal Deformations of Basic Tensor in Generalized Riemannian Space


L. S. Velimirović, S. M. Minčić, M. S. Stanković




At the beginning of the present work the basic facts on generalized Riemannian space $(GR_N)$ in the sense of Eisenhart's definition [Eis] and also on infinitesimal deformations of a space are given. We study the Lie derivatives and infinitesimal deformations of basic covariant and contravariant tensor at $GR_N$.