3 papers
math.DG2025
On the Rational Hyperbolicity problem
Ricardo Mendes, Alessandro Minuzzo, Marco Radeschi
We prove that a compact simply connected manifold with a variationally complete -action satisfying certain mild conditions (e.g. trivial principal isotropy, or simply connec…
math.DG2025
Reduction principles for proper actions
Leonardo Biliotti, Gustavo May Custodio, Alessandro Minuzzo
We study the core of a proper action by a Lie group on a smooth manifold , extending the construction for compact by Skjelbred and Straume. Moreover, we show that many p…
math.DG2024
Complex Structures on Product Manifolds
Leonardo Biliotti, Alessandro Minuzzo
Let , for , be a Kähler manifold, and let be a Lie group acting on by Kähler isometries. Suppose that the action admits a momentum map and let $N_i:=…