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math.DG2026
Almost-Hermitian and Hermitian metrics
Daniele Angella
We describe three problems in Hermitian geometry related to the scalar curvature of the Chern connection, aimed at identifying and constructing canonical metrics. They are chosen a…
math.DG2026
Yamabe-type problems on compact Hermitian manifolds
Daniele Angella, Francesco Pediconi, Carlo Scarpa +2
We introduce and study a one-parameter Hermitian deformation of the Yamabe problem on compact complex manifolds. The deformation is defined by adding natural torsion terms to the R…
math.DG2026
Cohomological properties and Hermitian metrics of complex non-Kähler manifolds
Daniele Angella, Nicoletta Tardini
We give a partial account of some problems concerning cohomological invariants and metric properties of complex non-Kähler manifolds.