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math.DG2024
Fully non-linear elliptic equations on compact hyperkähler manifolds
Giovanni Gentili, Luigi Vezzoni
We consider a general class of elliptic equations on hypercomplex manifolds which includes the quaternionic Monge-Ampère equation, the quaternionic Hessian equation and the Monge-A…
math.DG2024
The behavior of the second Ricci flow on complex parallelizable manifolds
Lucio Bedulli, Luigi Vezzoni
We study the flow of Hermitian metrics governed by the second Chern-Ricci form on a compact complex manifolds. The flow belongs to the family of Hermitian curvature flows introduce…