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Torse-forming Projective Motion in an NP − Fn

Authors

P. N. Pandey, Shivalika Saxena and Suresh K. Shukla

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.

Keywords and Phrases : Torse-forming projective motion, N-curvature collineation, contra affine motion, concurrent affine motion and special concircular affine motion.
AMS Subject Classification : : : 53B40.

Received date : 5 May, 2011

Accepted date: January 28, 2012

cited by: J.T.S. Vol. 6 No.1 (2012), pp.105-116

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