Almost contact Riemannian three-manifolds with Reeb flow symmetry |
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| Institution: | Universitá del Salento, Dipartimento di Matematica e Fisica “E. De Giorgi”, Via Provinciale Lecce-Arnesano, 73100 Lecce, Italy |
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| Abstract: | In this paper we give a complete classification of simply connected homogeneous almost α-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. |
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| Keywords: | Reeb flow Ricci operator Non-unimodular Lie groups Gaussian and extrinsic curvature |
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