مهدی رفیعی راد

Projective manifolds form an important class of spaces in geometry and topology. Metric projective manifolds are are typical examples of spaces on which straight line segments are the shortest connection between two points, at least at a local scheme. Randers manifolds (M; F = a + b) are the ubiquitous in Finslerian geometry with applications. A notable sub-group of the projective group Proj(M; F) which is denoted by Proj(M; F) turns the projective Finsler geometry to be a finer geometry called special projective geometry. Some diffcult results in projective Finsler geometry which are not proved yet, are established in this finner projective geometry; A Lichnerowicz- Obata type result is proved for Randers manifolds.