On the Existence of a New Class of Contact Metric Manifolds

By T. Koufogiorgos, C. Tsichlias. Canadian mathematical bulletin, 2000

79 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7c8ea5488536f8a0f08a5d94e74cdcf277b395df

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In Applied Mathematics

1. D. Perrone

In Geometry and Topology

1. D. Perrone

Citations in the corpus

• The harmonicity of the Reeb vector field on contact metric 3-manifolds (2008, unknown): “It is shown in [Koufogiorgos and Tsichlias 2000] that if dim M > 3, then κ and µ are necessarily constants, whereas if dim M = 3, such generalized manifolds exist.”
• Contact metric manifolds whose characteristic vector field is a harmonic vector field (2004, background): “2) where(k,μ) are non-constant smooth functions, are called g neralized(k,μ)-spacesand such spaces only exist in dimension three (see [17]).”