Second order parallel tensors on -contact metric manifolds.

Mondal, A.K.; De, U.C.; Özgür, C.

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In the present paper we investigate a contact metric manifold satisfying (C) $({\bar{\nabla}}_{\dot{γ}} R) (\cdot, \dot{γ}) \dot{γ} = 0$ for any $\bar{\nabla}$ -geodesic $γ$ , where $\bar{\nabla}$ is the Tanaka connection. We classify the 3-dimensional contact metric manifolds satisfying (C) for any $\bar{\nabla}$ -geodesic $γ$ . Also, we prove a structure theorem for a contact metric manifold with $ξ$ belonging to the $k$ -nullity distribution and satisfying (C) for any $\bar{\nabla}$ -geodesic $γ$ .

Displaying similar documents to “Second order parallel tensors on ( k , μ ) -contact metric manifolds.”

Displaying similar documents to “Second order parallel tensors on $(k, μ)$ -contact metric manifolds.”