ON INFINITESIMAL PROJECTIVE TRANSFORMATIONS OF THE TANGENT BUNDLE WITH THE COMPLETE LIFT OF A FINSLER METRIC
Abstract: Let (M; g) be a
Finsler manifold and TM0 its slit tangent bundle with the complete lift metric
~ g. In this paper, we prove that every infinitesimal completelift projective
transformation on (TM0; g ~), is an infinitesimal affine transformation.Moreover,
if (M; g) is a Landsberg manifold, then there is a one-to-one correspondence
between infinitesimal complete lift projective transformations on (TM0; g ~) and
infinitesimal affine transformations on (M; g).
Key words and Phrases: Finsler manifold, Complete
lift metric, Tangent bundle, Infinitesimal projective transformation
Author: B. Bidabad, M. M.
Rezaii and M. Zohrehvand
Journal Code: jpmatematikagg170004
