On the rescaled Riemannian metric of Cheeger-Gromoll type on the cotangent bundle
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.45, sa.2, ss.355-365, 2016 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.15672/hjms.20164515849
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.355-365
- Anahtar Kelimeler: Almost paracomplex structure, connection, cotangent bundle, paraholomorphic tensor field, Riemannian metric, TANGENT-BUNDLES, MANIFOLDS
- Atatürk Üniversitesi Adresli: Evet
Özet
Let (M, g) be an n-dimensional Riemannian manifold and T* M be its cotangent bundle equipped with a Riemannian metric of Cheeger-Gromoll type which rescale the horizontal part by a positive differentiable function. The main purpose of the present paper is to discuss curvature properties of T* M and construct almost paracomplex Norden structures on T* M. We investigate conditions for these structures to be para-Kahler (paraholomorphic) and quasi-para-Kahler. Also, some properties of almost paracomplex Norden structures in context of almost product Riemannian manifolds are presented.