On Kähler-like and G-Kähler-like almost Hermitian manifolds

We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler. We also show that if a Kähler-like and G-Kähler-like almost Hermitian manifold satisfies B...

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Bibliographic Details
Main Author: Kawamura Masaya
Format: Article
Language:English
Published: De Gruyter 2020-04-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2020-0009