Diagonal Lift in the Cotangent Bundle and its Applications

Authors

SEZGİN AKBULUT
MURAT ÖZDEMİR
ARİF A. SALIMOV

DOI

-

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.

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, SEZGİN; ÖZDEMİR, MURAT; and SALIMOV, ARİF A. (2001) "Diagonal Lift in the Cotangent Bundle and its Applications," Turkish Journal of Mathematics: Vol. 25: No. 4, Article 4. Available at: https://journals.tubitak.gov.tr/math/vol25/iss4/4