The paper constructs flat metrics on orbifolds and resolutions.
arXiv research
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Uniform estimates for complex Monge-Ampère equations on hermitian varieties.
Blowing up flat metrics yields balanced ones with constant curvature.
Flow smooths Chern-Ricci-flat metrics on Hermitian manifolds.
New metrics solve complex equations on special 3D shapes.
Hermitian metrics with zero second Chern Ricci curvature are rigid and exist on specific manifolds.
Study on Calabi-Yau locally conformally Kähler manifolds proving they are Vaisman.
Homogeneous compatible almost complex structures on symplectic manifolds are studied, focusing on those which are special, meaning that their Chern-Ricci form is a multiple of the symplectic form. Non Chern-Ricci flat ones are proven to be covered by co-adjoint orbits. Conversely, compact isotropy co-adjoint orbits of …
The article classifies six-dimensional solvmanifolds with non-invariant trivializing sections of their canonical bundle.
The paper studies LCAK metrics on complex manifolds and their properties.