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Mosayeb Zohrehvand

Mosayeb Zohrehvand

Academic rank: Assistant Professor
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Education: PhD.
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Faculty: Mathematical Sciences and Statistics
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Research

Title
IFPHP transformations on the tangent bundle with the deformed complete lift metric
Type
JournalPaper
Keywords
Complete lift metric, Infi nitesimal fiber-preserving transformation, Infi nitesimal paraholomorphically projective transformations, Adapted almost paracomplex structure.
Year
2021
Journal Journal of Finsler Geometry and its Applications
DOI
Researchers Mosayeb Zohrehvand

Abstract

Let (Mn, g) be a Riemannian manifold and TMn its tangent bundle. In this paper, we determine the infinitesimal fiber-preserving paraholomorphically projective(IFPHP) transformations on TMn with respect to the Levi-Civita connection the deformed complete lift metric G˜f = gC + (fg)V, where f is a nonzero differentiable function on Mn and gC and gV are the complete lift and the vertical lift of g on TMn, respectively. Also, the infinitesimal complete lift, horizontal and vertical lift paraholomorphically projective transformations on (TMn, G˜f ) are studied.