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MirMorhamad Rezaii, Morteza
IndoMS
Mathematics

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On Infinitesimal Projective Transformations of the Tangent Bendle With the Complete Lift of A Finsler Metric Bidabad, Behroz; MirMorhamad Rezaii, Morteza; Zohrehvand, Mosayeb
Journal of the Indonesian Mathematical Society Volume 23 Number 1 (April 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.1.397.1-12

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 complete lift 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).
Co-Authors Bidabad, Behroz Zohrehvand, Mosayeb