Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

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) ( ∇ ¯ γ ˙ R ) ( · , γ ˙ ) γ ˙ = 0 for any ∇ ¯ -geodesic γ , where ∇ ¯ is the Tanaka connection. We classify the 3-dimensional contact metric manifolds satisfying (C) for any ∇ ¯ -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 ∇ ¯ -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.

Page 1

Download Results (CSV)