Some Flatness Conditions on Normal Metric Contact Pairs
Differential Geometry
2021-01-05 v1
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 negative scalar curvature and has positive sectional curvature. It is also shown that a concircular flat normal metric contact pair manifold an Einstein manifold. Finally it is obtained that a quasi-conformal flat normal metric contact pair manifold is an Einstein manifold with a positive scalar curvature and, is a space of constant curvature.
Keywords
Cite
@article{arxiv.1902.05327,
title = {Some Flatness Conditions on Normal Metric Contact Pairs},
author = {İnan Ünal},
journal= {arXiv preprint arXiv:1902.05327},
year = {2021}
}