Alberto Raffero

collaborators

3 papers

math.DG2025

The heterotic G $_{2}$ -system on 2-step nilmanifolds endowed with principal torus bundles

Andrei Moroianu, Alberto Raffero, Luigi Vezzoni

We study the geometric heterotic G $_{2}$ -system on 7-dimensional 2-step nilmanifolds $M = I^\ N$ endowed with principal torus bundles and with a prescribed flat tangent bundle…

math.DG2025

Three-dimensional positively curved generalized Ricci solitons with SO(3)-symmetries

Fabio PodestÃ, Alberto Raffero

We prove the existence of a one-parameter family of pairwise non-isometric, complete, positively curved, steady generalized Ricci solitons of gradient type on $R^{3}$ that a…

math.DG2025

Pluripotential theory and special holonomy, I: Hodge decompositions and $\partial \partial ˉ$ lemmata

Tommaso Pacini, Alberto Raffero

Let $M$ be a compact torsion-free $G_{2}$ 7-manifold or Calabi-Yau 6-manifold. We prove Hodge decomposition theorems for the $d d^{I ¨} $ operators, introduced by Harvey and Lawson, which…

The heterotic G2​-system on 2-step nilmanifolds endowed with principal torus bundles

Three-dimensional positively curved generalized Ricci solitons with SO(3)-symmetries

Pluripotential theory and special holonomy, I: Hodge decompositions and ∂∂ˉ lemmata

The heterotic G $_{2}$ -system on 2-step nilmanifolds endowed with principal torus bundles

Pluripotential theory and special holonomy, I: Hodge decompositions and $\partial \partial ˉ$ lemmata