Torse-forming Projective Motion in an NP * Fn

Abstract

In the present paper, we study torse-forming projective motion in an NP − Fn. We obtain the necessary and sufficient condition for the torse-forming projective motion in an NP − Fn to be an affine motion. We deduce a necessary condition for the torse-forming projective motion to be an N-curvature collineation. Further, we study contra affine motion, concurrent affine motion and special concircular affine motion in an NP −Fn. We show that every contra as well as concurrent vector field generates an affine motion but a special concircular vector field does not. We deduce that every contra vector field as well as concurrent vector field generates projective motion and N-curvature collineation in an NP − Fn.