On the rescaled Riemannian metric of Cheeger-Gromoll type on the cotangent bundle

GEZER A., Altunbas M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.45, sa.2, ss.355-365, 2016 (SCI-Expanded) identifier identifier

  • 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.