A survey on pluriclosed and CYT metrics
Serdica Mathematical Journal, Tome 50 (2024) no. 2
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A Hermitian metric on a complex manifold is called pluriclosed if the torsion of the associated Bismut connection is closed, and it is said to be CYT if the Bismut Ricci form vanishes. In this paper, we survey recent results on pluriclosed and CYT metrics and review some constructions of compact non-Kähler manifolds.
Keywords:
Bismut connection, Hermitian metric, pluriclosed metric, CYT metric, 53C55, 53C05, 22E25, 53C30, 53C44
@article{SMJ2_2024_50_2_a1,
author = {Grantcharov, Gueo and Fino, Anna},
title = {A survey on pluriclosed and {CYT} metrics},
journal = {Serdica Mathematical Journal},
year = {2024},
volume = {50},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2024_50_2_a1/}
}
Grantcharov, Gueo; Fino, Anna. A survey on pluriclosed and CYT metrics. Serdica Mathematical Journal, Tome 50 (2024) no. 2. http://geodesic.mathdoc.fr/item/SMJ2_2024_50_2_a1/