Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators

Quanxiang Pan, Yajie Wang and Antonio Masiello

Journal of Mathematics, 2020, vol. 2020, 1-7

Abstract: Let M be an almost cosymplectic 3-h-a-manifold. In this paper, we prove that the Ricci operator of M is transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invariant almost cosymplectic structure. Some corollaries of this result and some examples illustrating main results are given.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4172197

DOI: 10.1155/2020/4172197

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