Turkish Journal of Mathematics
Abstract
In this paper we define a diagonal lift ^{D}g of Riemannian metric g of manifold M_n to the tangent bundle of order two denoted by T^{2}M_n of M_n, we associate to ^{D}g its Levi-civita connection of T^2 M and we investigate applications of the diagonal lifts in the killing vectors and geodesics.
DOI
-
Keywords
Tangent bundle of order two, Riemannian metric, Diagonal lift, Levi-civita connection, Killing vector field, Geodesic
First Page
373
Last Page
384
Recommended Citation
HATHOUT, F, & DIDA, H. M (2006). Diagonal Lift in the Tangent Bundle of Order Two and its Applications. Turkish Journal of Mathematics 30 (4): 373-384. https://doi.org/-
