%0 Journal Article
%T IFP transformations on the cotangent bundle with the modified Riemannian extension
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Zohrehvand, Mosayeb
%D 2020
%\ 12/01/2020
%V 1
%N 2
%P 27-38
%! IFP transformations on the cotangent bundle with the modified Riemannian extension
%K Modified Riemannian extension
%K Infinitesimal fiber-preserving transformations
%K Infinitesimal projective transformations
%R 10.22098/jfga.2020.1237
%X Let ∇ be a symmetric connection on an n-dimensional manifold M nand T ∗ M n its cotangent bundle. In this paper, firstly, we determine theinfinitesimal fiber-preserving projective(IFP) transformations on T ∗ M nwith respect to the Riemannian connection of the modified Riemannianextension ˜ g ∇,c where c is a symmetric (0,2)-tensor field on M n . Thenwe prove that, if (T ∗ M n , ˜ g ∇,c ) admits a non-affine infinitesimal fiber-preserving projective transformation, then M n is locally flat, where ∇is the Levi-Civita connection of a Riemannian metric g on M n . Finally,the infinitesimal complete lift, horizontal and vertical lift projective trans-formations on (T ∗ M n , ˜ g ∇,c ) are studied.
%U https://jfga.uma.ac.ir/article_1237_72b2d06af7c5c765d2445eff11c74e51.pdf