On phi-Recurrent (k, m)-Contact Metric Manifolds
E. Peyghan, A. Tayebi
TL;DR
This paper investigates phi-recurrent (k, m)-contact metric manifolds, establishing the non-existence of phi-recurrent Sasakian manifolds and characterizing flat 3-dimensional manifolds as the only phi-recurrent (k, m)-contact metric manifolds.
Contribution
It proves the non-existence of phi-recurrent Sasakian manifolds and characterizes flat 3-dimensional manifolds as the unique phi-recurrent (k, m)-contact metric manifolds.
Findings
No phi-recurrent Sasakian manifolds exist.
Only flat 3-dimensional manifolds are phi-recurrent (k, m)-contact metric.
Characterization of phi-recurrent (k, m)-contact metric manifolds.
Abstract
In this paper, we show that there is no phi-recurrent Sasakian manifold. Then we prove that the only flat 3-dimensional manifolds are phi-recurrent (k, m)-contact metric manifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology