A. Minuzzo

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20242026

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math.DG2026

A Calabi--Matsushima decomposition for real reductive group actions

Leonardo Biliotti, Alessandro Minuzzo, Fabio Podestà

Let $Z$ be a compact Kähler manifold endowed with a Hamiltonian action of a compact connected Lie group $U$ , and let $G \subset U^{C}$ be a real compatible subgroup. Using t…

math.DG2025

On the Rational Hyperbolicity problem

Ricardo Mendes, Alessandro Minuzzo, Marco Radeschi

We prove that a compact simply connected manifold $M$ with a variationally complete $G$ -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 $G$ on a smooth manifold $M$ , extending the construction for $G$ compact by Skjelbred and Straume. Moreover, we show that many p…

math.DG2024

Complex Structures on Product Manifolds

Leonardo Biliotti, Alessandro Minuzzo

Let $M_{i}$ , for $i = 1, 2$ , be a Kähler manifold, and let $G$ be a Lie group acting on $M_{i}$ by Kähler isometries. Suppose that the action admits a momentum map $μ_{i}$ and let $N_i:=μ_i…