81 citations · 121 across the 16 of their papers we have counts for
20 papers
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…
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…
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…
The parabolic quaternionic Calabi-Yau equation on hyperkähler manifolds
Lucio Bedulli, Giovanni Gentili, Luigi Vezzoni
We show that the parabolic quaternionic Monge-Ampère equation on a compact hyperkähler manifold has always a long-time solution which once normalized converges smoothly to a soluti…
A parabolic approach to the Calabi-Yau problem in HKT geometry
Lucio Bedulli, Giovanni Gentili, Luigi Vezzoni
We consider the natural generalization of the parabolic Monge-Ampère equation to HKT geometry. We prove that in the compact case the equation has always a short-time solution and w…
A remark on the Laplacian flow and the modified Laplacian co-flow in G2-Geometry
Lucio Bedulli, Luigi Vezzoni
We observe that the DeTurck Laplacian flow of G2-structures introduced by Bryant and Xu as a gauge fixing of the Laplacian flow can be regarded as a flow of G2-structures (not nece…