Certain results on trans-paraSasakian 3-manifolds-Reference-Cited by-同舟云学术

Certain results on trans-paraSasakian 3-manifolds

Published:2022-01-06 Issue:1 Volume:42 Page:49-56
ISSN:0174-4747
Container-title:Analysis
language:en
Short-container-title:

Author:

Kumara H. Aruna¹^ORCID,Venkatesha V.¹^ORCID,Naik Devaraja Mallesha²^ORCID

Affiliation:

1. Department of Mathematics , Kuvempu University , Shankaraghatta , Karnataka 577-451 , India

2. Department of Mathematics , Christ University , Bengaluru - 560029 , India

Abstract

Abstract 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 α-paraSasakian manifold or a space of negative constant sectional curvature.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anly-2021-0048/pdf

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