3 papers
math.DG2026
On homogeneous HKT manifolds and the Einstein condition
Lucio Bedulli, Lorenzo Marcocci
We consider homogeneous hypercomplex manifolds with a transitive action of a compact Lie group and we give a characterization of invariant HKT metrics on them. On every such hyperc…
math.DG2025
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…
math.DG2024
SYZ mirror symmetry of solvmanifolds
Lucio Bedulli, Alessandro Vannini
We present an effective construction of non-Kaehler supersymmetric mirror pairs in the sense of Lau,Tseng and Yau starting from left-invariant affine structures on Lie groups. Appl…