81 citations · 250 across the 35 of their papers we have counts for
4 papers · 1 filter
On the dynamical behaviour of the generalized Ricci flow
Alberto Raffero, Luigi Vezzoni
Motivated by Müller-Haslhofer results on the dynamical stability and instability of Ricci-flat metrics under the Ricci flow, we obtain dynamical stability and instability results f…
The quaternionic Calabi conjecture on abelian hypercomplex nilmanifolds viewed as tori fibrations
Giovanni Gentili, Luigi Vezzoni
We study the quaternionic Calabi-Yau problem in HKT geometry introduced by Alesker and Verbitsky on 8-dimensional 2-step nilmanifolds with an abelian hypercomplex structure. We sho…
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…
On the stability of the anomaly flow
Lucio Bedulli, Luigi Vezzoni
We prove that the parabolic flow of conformally balanced metrics introduced by Phong, Picard and Zhang in "A flow of conformally balanced metrics with Kähler fixed points", is stab…