SOME NOTES CONCERNING CHEEGER-GROMOLL METRICS
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.42, no.5, pp.533-549, 2013 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 42 Issue: 5
- Publication Date: 2013
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.533-549
- Keywords: Cheeger-Gromoll metric, cotangent bundle, vertical and horizontal lift, curvature tensor, geodesics, G-NATURAL METRICS, TANGENT-BUNDLES, RIEMANNIAN MANIFOLD
- Karadeniz Technical University Affiliated: Yes
Abstract
The purpose of this paper is to introduce Cheeger-Gromoll type metric on the cotangent bundle of Riemannian manifold and investigate curvature properties and geodesics on the cotangent bundle with respect to the Cheeger-Gromoll metric.