L. Biliotti

activity

20032026

most cited

t

-periodic light rays in conformally stationary spacetimes via Finsler geometry

4 citations · 24 across the 33 of their papers we have counts for

collaborators

41 papers

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

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…

math.DG2023

A Hilbert-Mumford Criterion for polystability for actions of real reductive Lie groups

Leonardo Biliotti, Oluwagbenga Joshua Windare

We presented a Hilbert-Mumford criterion for polystablility associated with an action of a real reductive Lie group $G$ on a real submanifold $X$ of a Kahler manifold $Z$ . Suppose…

math.DG2023

Common Singularities of Commuting Vector Fields

Leonardo Biliotti, Oluwagbenga Joshua Windare

We study the singularities of commuting vector fields of a real submanifold of a Kähler manifold $Z$ .

math.DG2022

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…