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math.DG2022
Pluriclosed Star Split Hermitian Metrics
Dan Popovici
We introduce a class of Hermitian metrics, that we call pluriclosed star split, generalising both the astheno-Kähler metrics of Jost and Yau and the -Gauduchon metrics of Fu…
math.DG2022
A Variational Approach to SKT and Balanced Metrics
Sławomir Dinew, Dan Popovici
We investigate compact complex manifolds endowed with SKT or balanced metrics. In each case we define a new functional whose critical points are proved to be precisely the Kähler m…