e-Article
Minimal and harmonic Reeb vector fields on trans-Sasakian 3-manifolds
Document Type
Article
Author
Source
대한수학회지, 55(6), pp.1321-1336 Nov, 2018
Subject
Language
English
ISSN
2234-3008
0304-9914
0304-9914
Abstract
In this paper, we obtain some necessary and sufficient conditions for the Reeb vector field of a trans-Sasakian $3$-manifold to be minimal or harmonic. We construct some examples to illustrate main results. As applications of the above results, we obtain some new characteristic conditions under which a compact trans-Sasakian $3$-manifold is homothetic to either a Sasakian or cosymplectic $3$-manifold.