SOME NOTES CONCERNING CHEEGER-GROMOLL METRICS
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.42, sa.5, ss.533-549, 2013 (SCI-Expanded, Scopus, TRDizin)
- 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.