On phi-Recurrent Contact Metric Manifolds
Differential Geometry
2013-02-20 v1
Abstract
In this paper, we prove that evry 3-dimensional manifold M is a ?- recurrent N(k)-contact metric manifold if and only if it is flat. Then we classify the ?-recurrent contact metric manifolds of constant curvature. This implies that there exists no ?-recurrent N(k)-contact metric manifold, which is neither symmetric nor locally ?-symmetric.
Keywords
Cite
@article{arxiv.1302.4428,
title = {On phi-Recurrent Contact Metric Manifolds},
author = {E. Peyghan and H. Nasrabadi and A. Tayebi},
journal= {arXiv preprint arXiv:1302.4428},
year = {2013}
}