Diagonal Lift in the Cotangent Bundle and its Applications

Authors

SEZGİN AKBULUT
MURAT ÖZDEMİR
ARİF A. SALIMOV

Abstract

The purpose of this paper is to define a diagonal lift ^{\mathcal{D }}g of a Riemannian metric g of a manifold M_{n} to the cotangent bundle T^{*}(M_{n}) of M_{n}, to associate with ^{\mathcal{D}}g an Levi-Civita connection of T^{*}(M_{n}) in a natural way and to investigate applications of the diagonal lifts.

DOI

-

Keywords

Cotangent bundle, Riemannian metric, diagonal lift, Levi-Civita connection, B-manifold, Killing vector field, geodesic.

First Page

491

Last Page

502

Recommended Citation

AKBULUT, S, ÖZDEMİR, M, & SALIMOV, A. A (2001). Diagonal Lift in the Cotangent Bundle and its Applications. Turkish Journal of Mathematics 25 (4): 491-502. https://doi.org/-