Turkish Journal of Mathematics
DOI
-
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.
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, FOUZI and DIDA, H. M. (2006) "Diagonal Lift in the Tangent Bundle of Order Two and its Applications," Turkish Journal of Mathematics: Vol. 30: No. 4, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol30/iss4/3
