[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b180222

CURVATURE HOMOGENEITY AND BALL-HOMOGENEITY ON ALMOST COKӒHLER 3-MANIFOLDS

Wang, Yaning (School of Mathematics and Information Sciences Henan Normal University)

Publication Information

Bulletin of the Korean Mathematical Society / v.56, no.1, 2019 , pp. 253-263 More about this Journal

Abstract

Let M be a curvature homogeneous or ball-homogeneous non- $coK{\ddot{a}}hler$ almost $coK{\ddot{a}}hler$ 3-manifold. In this paper, we prove that M is locally isometric to a unimodular Lie group if and only if the Reeb vector field ${\xi}$ is an eigenvector field of the Ricci operator. To extend this result, we prove that M is homogeneous if and only if it satisfies ${\nabla}_{\xi}h=2f{\phi}h$ , $f{\in}{\mathbb{R}}$ .

Keywords

almost $coK{\ddot{a}}hler$ 3-manifold; ball-homogeneity; curvature homogeneity; Locally homogeneity; Lie group;

Citations & Related Records

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