- Hacettepe Journal of Mathematics and Statistics
- Vol: 31
- GEODESICS IN THE TENSOR BUNDLE OF DIAGONAL LIFTS
GEODESICS IN THE TENSOR BUNDLE OF DIAGONAL LIFTS
Authors : N. Cengiz, A. A. Salimov
Pages : 1-11
View : 14 | Download : 6
Publication Date : 2001-12-01
Article Type : Research
Abstract :Let $M_n$ be an n-dimensional differentiable manifold of class $C^{\infty}$ and $T^1_{q}(M_n)$ the tensor bundle over $M_n$ of tensor of type (1,q). The purpose of this paper is to de¯ne a diagonal lift $^D_g$ of a Riemannian metric g of a manifold $M_n$ to the tensor bundle $T^1_{q}(M_n)$ and and to investigate geodesics in a tensor bundle with respect to the Levi-Civita connection of $^D_g$.Keywords : Tensor bundle, Riemannian metric, Diagonal lift, Levi-Civita connection, Geodesic