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Locally symmetric almost coK\"{a}hler 5-manifolds with K\"{a}hlerian leaves

Yaning Wang
대한수학회 (The Korean Mathematical Society)|2018.05|대한수학회보 (Bulletin of the KMS)|제55권 제3호|pp. 789-798

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참고문헌

키워드

almost coK\"{a}hler $5$-manifoldlocal symmetry
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초록

Let $M$ be a compact almost coK\"{a}hler $5$-manifold with K\"{a}hler\-ian leaves. In this paper, we prove that $M$ is locally symmetric if and only if it is locally isometric to a Riemannian product of a unit circle $S^1$ and a locally symmetric compact K\"{a}hler $4$-manifold.

Abstract

Let $M$ be a compact almost coK\"{a}hler $5$-manifold with K\"{a}hler\-ian leaves. In this paper, we prove that $M$ is locally symmetric if and only if it is locally isometric to a Riemannian product of a unit circle $S^1$ and a locally symmetric compact K\"{a}hler $4$-manifold.

참고문헌 (17)

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