L. Biliotti

collaborators

3 papers

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.DG2025

Reduction principles for proper actions

Leonardo Biliotti

Let $G$ be a Lie group acting properly on a smooth manifold $M$ . If $M / G$ is connected, then we exhibit some simple and basic constructions for proper actions. In particular, we pr…

math.DG2024

Complex Structures on Product Manifolds

Leonardo Biliotti, Alessandro Minuzzo

Let $M_{i}$ , for $i = 1, 2$ , be a KÃ¤hler manifold, and let $G$ be a Lie group acting on $M_{i}$ by KÃ¤hler isometries. Suppose that the action admits a momentum map $I^¼_{i}$ and let $N_i:=…