Paracontact Tangent Bundles with Cheeger-Gromoll Metric


Kazan A., KARADAĞ H. B.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.12, ss.497-523, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 12 Konu: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00009-014-0414-1
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.497-523

Özet

In this paper, we define the almost paracontact metric structure on a tangent bundle TM with Cheeger-Gromoll (C-G) metric and obtain the normality condition for it. We define the paracontact C-G metric tangent bundle, K-paracontact C-G metric tangent bundle and C-G para-Sasakian tangent bundle and give some characterizations about them. Also, we give the Riemannian curvature tensor RI integral and the sectional curvature KI integral of the almost paracontact C-G metric tangent bundle TM. Finally, we obtain the Ricci curvature SI integral and the scalar curvature of the almost paracontact C-G metric tangent bundle TM with the aid of the orthonormal basis of TM.