SOME NOTES CONCERNING CHEEGER-GROMOLL METRICS

Agca F., SALIMOV A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.42, sa.5, ss.533-549, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 5
  • Basım Tarihi: 2013
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.533-549
  • Anahtar Kelimeler: Cheeger-Gromoll metric, cotangent bundle, vertical and horizontal lift, curvature tensor, geodesics, G-NATURAL METRICS, TANGENT-BUNDLES, RIEMANNIAN MANIFOLD
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.