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A contact metric manifold satisfying a certain curvature condition

Jong Taek Cho — 1995

Archivum Mathematicum

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 $γ$ .

Pseudo-symmetric contact 3-manifolds III

Jong Taek Cho; Jun-ichi Inoguchi; Ji-Eun Lee — 2009

Colloquium Mathematicae

A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.

On a class of contact Riemannian manifolds.

Cho, Jong Taek — 2000

International Journal of Mathematics and Mathematical Sciences

CR structures on real hypersurfaces of a complex projective space.

Cho, Jong Taek; Ki, U-Hang — 1997

Balkan Journal of Geometry and its Applications (BJGA)

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