- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 2
- Some flatness conditions on normal metric contact pairs
Some flatness conditions on normal metric contact pairs
Authors : Inan Ünal
Pages : 1256-1265
Doi:10.31801/cfsuasmas.546701
View : 8 | Download : 6
Publication Date : 2020-12-31
Article Type : Research
Abstract :In this paper, the geometry of normal metric contact pair manifolds is studied under the flatness of conformal, concircular and quasi-conformal curvature tensors. It is proved that a conformal flat normal metric contact pair manifold is an Einstein manifold with a positive scalar curvature and has positive sectional curvature. It is also shown that a concircular flat normal metric contact pair manifold is an Einstein manifold. Finally, it is obtained that a quasi-conformally flat normal metric contact pair manifold is an Einstein manifold with a positive scalar curvature and, is a space of constant curvature.Keywords : contact pairs, curvature conditions, hermitian contact pair