Certain results on trans-paraSasakian 3-manifolds

Title

Certain results on trans-paraSasakian 3-manifolds

Creator

Kumara H.A.; Venkatesha V.; Naik D.M.

Description

Let M be a trans-paraSasakian 3-manifold. In this paper, the necessary and sufficient condition for the Reeb vector field of a trans-paraSasakian 3-manifold to be harmonic is obtained. Also, it is proved that the Ricci operator of M is invariant along the Reeb flow if and only if M is a paracosymplectic manifold, an ?-paraSasakian manifold or a space of negative constant sectional curvature. 2022 Walter de Gruyter GmbH, Berlin/Boston.

Source

Analysis (Germany), Vol-42, No. 1, pp. 49-56.

Date

2022-01-01

Publisher

De Gruyter Open Ltd

Subject

harmonic vector field; Reeb flow symmetry; Ricci operator

Coverage

Kumara H.A.; Venkatesha V., Department of Mathematics, Kuvempu University, Shankaraghatta, Karnataka, 577-451, India; Naik D.M., Department of Mathematics, Christ University, Bengaluru, 560029, India

Rights

Restricted Access

Relation

ISSN: 1744747

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1515/anly-2021-0048

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