2024 : 11 : 16
Mosayeb Zohrehvand

Mosayeb Zohrehvand

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Mathematical Sciences and Statistics
Address:
Phone:

Research

Title
IPHP TRANSFORMATIONS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO A CLASS OF LIFT METRICS
Type
JournalPaper
Keywords
g-natural metrics, infinitesimal paraholomorphically projective transformations, adapted almost paracomplex structure.
Year
2022
Journal eurasian mathematical journal
DOI
Researchers Mosayeb Zohrehvand

Abstract

Let (Mn; g) be an n-dimensional Riemannian manifold and TMn its tangent bundle. In this article, we study the infinitesimal paraholomorphically projective (IPHP) transformations on TMn with respect to the Levi-Civita connection of the pseudo- Riemannian metric ~g=agS+b gC+cgV , where a; b and c are real constants with a(a+b)-b^2= 0 and gS, gC and gV are diagonal lift, complete lift and vertical lift of g, respectively. We determine this type of transformations and then prove that if (TMn; ~g) has a non-affine infinitesimal paraholomorphically projective transformation, then Mn and TMn are locally flat.