Journals / Turkish Journal of Mathematics / 2006 / Cilt: 30 - Sayı: 4
Diagonal Lift in the Tangent Bundle of Order Two and its Applications
- Pages
- 373–384
- DOI
- —
Abstract
In this paper we define a diagonal lift Dg of Riemannian metric g of manifold Mn to the tangent bundle of order two denoted by T2Mn of Mn, we associate to Dg its Levi-civita connection of T2 M and we investigate applications of the diagonal lifts in the killing vectors and geodesics.
Özet
In this paper we define a diagonal lift Dg of Riemannian metric g of manifold Mn to the tangent bundle of order two denoted by T2Mn of Mn, we associate to Dg its Levi-civita connection of T2 M and we investigate applications of the diagonal lifts in the killing vectors and geodesics.