Paracontact Tangent Bundles with Cheeger-Gromoll Metric

Küçük Resim Yok

Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Basel Ag

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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.

Açıklama

Anahtar Kelimeler

Horizontal lift, vertical lift, Cheeger-Gromoll metric, paracontact structure

Kaynak

Mediterranean Journal of Mathematics

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

12

Sayı

2

Künye