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arXiv · 1902.05327

Some Flatness Conditions on Normal Metric Contact Pairs

İnan Ünal
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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.

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İnan Ünal. 2019-02-14. Some Flatness Conditions on Normal Metric Contact Pairs. https://doi.org/10.31801/cfsuasmas.546701

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