Pseudo-symmetric contact 3-manifolds III
Volume 114 / 2009
Colloquium Mathematicum 114 (2009), 77-98
MSC: 53B20, 53C25, 53C30.
DOI: 10.4064/cm114-1-7
Abstract
A trans-Sasakian $3$-manifold is pseudo-symmetric if and only if it is $\eta $-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.
