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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…