F. HATHOUT, Hamou Mohammed DIDA

Diagonal Lift in the Tangent Bundle of Order Two and its Applications

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.

Anahtar Kelimeler:

Tangent bundle of order two, Riemannian metric, Diagonal lift, Levi-civita connection, Killing vector field, Geodesic

Diagonal Lift in the Tangent Bundle of Order Two and its Applications

Keywords:

Tangent bundle of order two, Riemannian metric, Diagonal lift, Levi-civita connection, Killing vector field, Geodesic,

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F. HATHOUT, Hamou Mohammed DIDA Geometry, Analysis, Control and Applications Laboratory of Saida University pb 138 “20000” ALGERIA e-mail: f.hathout@caramail.com e-mail: didamohammed@yahoo.fr