Almost Contact Riemannian Three-Manifolds With Reeb Flow Symmetry

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS（2021）

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摘要

In this paper we give a complete classification of simply connected homogeneous almost alpha-Kenmotsu three-manifolds M whose Ricci operator is invariant along the Reeb flow. We get this classification by using the Gaussian and the extrinsic curvature associated with the canonical foliation of M.(c) 2021 Elsevier B.V. All rights reserved.

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关键词

Almost ?-Kenmotsu three-manifolds, Reeb flow, Ricci operator, Non-unimodular Lie groups, Gaussian and extrinsic curvature

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