scholarly journals Deformation theory of nearly Kähler manifolds

2017 ◽  
Vol 95 (2) ◽  
pp. 586-612 ◽  
Author(s):  
Lorenzo Foscolo
2019 ◽  
Vol 55 (4) ◽  
pp. 703-717 ◽  
Author(s):  
Andrei Moroianu ◽  
Paul-Andi Nagy

Author(s):  
Masaya Kawamura

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.


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