SOME NOTES CONCERNING CHEEGER-GROMOLL METRICS

Agca F., SALIMOV A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.42, no.5, pp.533-549, 2013 (SCI-Expanded) identifier identifier

  • 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.