3 papers
math.DG2026
Futaki invariant on lcK manifolds with potential
Giacomo Perri
We prove that the Futaki invariant introduced by Futaki, Hattori, and Ornea vanishes identically on every compact locally conformally Kähler manifold with potential, thereby answer…
math.DG2026
Hodge decomposition for Kato manifolds
Giacomo Perri
We prove that any Kato manifold satisfies the Hodge decomposition, in the sense that , by relating its cohomology to the corresponding cohomology of its m…
math.DG2025
Futaki invariant on Hopf manifolds
Giacomo Perri
The Futaki invariant is a fundamental tool in Kähler geometry representing an obstruction to the existence of Kähler-Einstein metrics. Recently, it was generalized to compact compl…