Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2018-11-01

Journal: MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 6

Issue: 11

ISSN: 2227-7390

Key Words: trans-Sasakian 3-manifold; Reeb flow symmetry; Ricci operator

Abstract: Let M be a three-dimensional trans-Sasakian manifold of type (alpha, beta). In this paper, we obtain that the Ricci operator of M is invariant along Reeb flow if and only if M is an alpha-Sasakian manifold, cosymplectic manifold or a space of constant sectional curvature. Applying this, we give a new characterization of proper trans-Sasakian 3-manifolds.