Some flatness conditions on normal metric contact pairs

Authors : İnan ÜNAL

Pages : 1256-1265

Doi:10.31801/cfsuasmas.546701

View : 19 | Download : 12

Publication Date : 2020-12-31

Article Type : Research Paper

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