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On the Kähler-likeness on nearly Kähler manifolds

Masaya Kawamura

Department of General Education National Institute of Technology, Kagawa College 355, Chokushi-Cho, Takamatsu, Kagawa, 761-8058, Japan

E-mail Address: kawamura-m@t.kagawa-nct.ac.jp

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https://doi.org/10.1142/S1793557121501321Cited by:1 (Source: Crossref)

Abstract

We introduce Kähler-like, G-Kähler-like almost Hermitian metrics. We characterize the Kähler-likeness and the G-Kähler-likeness, and show that these properties are equivalent on nearly Kähler manifolds. Furthermore, we prove that a nearly Kähler manifold with the Kähler-likeness is Kähler.

Communicated by L. W. Tu

Keywords:

AMSC: 32Q60, 53C15, 53C55

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