On Lie-recurrence in Finsler spaces (Q2901324)

A Lie-recurrence of a Finsler space is an infinitesimal transformation with respect to which the Lie derivative of curvature tensor is proportional to itself. In the paper under review, the authors study Lie-recurrence of Finsler spaces. The main results are that a Finsler space of \(n\)-dimensional (\(n> 2\)) admitting a projective Lie-recurrence is necessarily an isotropic space, and that a symmetric space admitting a projective Lie-recurrence is necessarily Riemannian.