collaborators

5 papers

math.AT2025

Strong formality of toric and homogeneous compact Kähler manifolds

Giovanni Placini, Jonas Stelzig, Leopold Zoller

All compact Kähler, or even -manifolds, are rationally formal. Not all of them are strongly formal. Yet some of them are: For complete smooth complex toric v…

math.DG2025

On weak and strict relatives Kähler manifolds

Giovanni Placini

We study Kähler manifolds that are (weak) relatives, that is, Kähler manifolds which share a (locally isometric) submanifold. In particular, we prove that if two Kähler manifold…

math.DG2024

Approximation results for compact Vaisman manifolds

Daniele Angella, Marco Miceli, Giovanni Placini

We extend the Tian approximation theorem for projective manifolds to a class of complex non-Kähler manifolds, the so-called Vaisman manifolds. More precisely, we study the problem…

math.DG2024

Any Sasakian structure is approximated by embeddings into spheres

Andrea Loi, Giovanni Placini

We show that, for any given , any Sasakian structure on a closed manifold is approximated in the -norm by structures induced by CR embeddings into weighted Sasa…

math.AT2024

Nontrivial Massey products on compact Kähler manifolds

Giovanni Placini, Jonas Stelzig, Leopold Zoller

We show that the bigraded quasi-isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham…