Some flatness conditions on normal metric contact pairs

Year 2020, Volume: 69 Issue: 2, 1256 - 1265, 31.12.2020

İnan Ünal

https://doi.org/10.31801/cfsuasmas.546701

Cited By: 3

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

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