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Indexed by:期刊论文

Date of Publication:2018-11-01

Journal:MATHEMATICS

Included Journals:SCIE、Scopus

Volume:6

Issue:11

ISSN No.: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.