On 6-dimensional Kähler-like or G-Kähler-like nearly Kähler manifolds

Authors

  • Masaya Kawamura National Institute of Technology

DOI:

https://doi.org/10.53733/83

Keywords:

almost Hermitian manifolds, Kählerlike metrics, G-Kähler-like metrics, Chern connection

Abstract

We introduce a Kähler-like and a G-Kähler-like almost Hermitian metric. We characterize the Kähler-likeness and the G-Kähler-likeness on nearly Kähler manifolds and prove that a $6$-dimensional Kähler-like or G-Kähler-like nearly Kähler manifold is Kähler.

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Author Biography

Masaya Kawamura, National Institute of Technology

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

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Published

04-02-2021

How to Cite

Kawamura, M. (2021). On 6-dimensional Kähler-like or G-Kähler-like nearly Kähler manifolds. New Zealand Journal of Mathematics, 50, 219–231. https://doi.org/10.53733/83

Issue

Vol. 50 (2020)

Section

Articles