2020International Journal of Scientific Research in Science and TechnologyOpen access

Projective Motion, Projective Curvature Collineation and Infinitesimal Projective Transformation in a Finsler Space Equipped with Semi-Symmetric Connection

S. K. Tiwari, Ved Mani

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Abstract

The present communication has been devoted to the study of projective motion, projective curvature collineation and infinitesimal projective transformation in a Finsler space equipped with semi-symmetric connection. In this communication we have derived results in the form of theorems which hold when the Finsler space under consideration admits both projective motion and projective curvature collineation and in this continuation, we have also derived the relationships which hold when the space under consideration admits a non-affine as well as an affine infinitesimal projective transformation.

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The present communication has been devoted to the study of projective motion, projective curvature collineation and infinitesimal projective transformation in a Finsler space equipped with semi-symmetric connection. In this communication we have derived results in the form of theorems which hold when the Finsler space under consideration admits both projective motion and projective curvature collineation and in this continuation, we have also derived the relationships which hold when the space under consideration admits a non-affine as well as an affine infinitesimal projective transformation.

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Available abstract

The present communication has been devoted to the study of projective motion, projective curvature collineation and infinitesimal projective transformation in a Finsler space equipped with semi-symmetric connection. In this communication we have derived results in the form of theorems which hold when the Finsler space under consideration admits both projective motion and projective curvature collineation and in this continuation, we have also derived the relationships which hold when the space under consideration admits a non-affine as well as an affine infinitesimal projective transformation.

Key concepts: Collineation, Mathematics, Quaternionic projective space, Projective space, Real projective line, Projective plane, Pure mathematics, Complex projective space

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