Ricci tensors on three-dimensional almost coKähler manifolds

Yaning Wang

doi:10.2996/kmj/1478073764

Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

Ricci tensors on three-dimensional almost coKähler manifolds

Yaning Wang

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Keywords: 3-dimensional almost coKähler manifolds, η-parallel Ricci tensor, harmonic curvature tensor, Lie group

JOURNAL FREE ACCESS

2016 Volume 39 Issue 3 Pages 469-483

DOI https://doi.org/10.2996/kmj/1478073764

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Abstract

Let M³ be a three-dimensional almost coKähler manifold such that the Ricci curvature of the Reeb vector field is invariant along the Reeb vector field. In this paper, we obtain some classification results of M³ for which the Ricci tensor is η-parallel or the Riemannian curvature tensor is harmonic.

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