Francesco Bei

collaborators

3 papers

math.DG2026

$L^{2}$ FrÃ¶licher inequalities

Francesco Bei, Riccardo Piovani

We prove a FrÃ¶licher inequality between $L^{2}$ Betti and $L^{2}$ Hodge numbers on normal coverings of compact complex manifolds. This is achieved by building an injection using suita…

math.DG2026

Simply connectedness of KÃ¤hler and Riemannian manifolds via spectral estimates (with an appendix by Shiyu Zhang)

Francesco Bei

Let $(M, h)$ be a compact KÃ¤hler manifold. Under a rather weak spectral positivity assumption we prove that $M$ is rationally connected and thus simply connected, projective with $…

math.DG2025

On the cohomology of $L^{2}$ -harmonic forms of an incomplete Riemannian manifold

Francesco Bei, Mauro Spreafico

Motivated by the work of Cappell, Deturck, Gluch and Miller, we extend the notion of cohomology of harmonic forms (of a compact manifold with boundary) to the abstract setting of H…

L2 FrÃ¶licher inequalities

Simply connectedness of KÃ¤hler and Riemannian manifolds via spectral estimates (with an appendix by Shiyu Zhang)

On the cohomology of L2-harmonic forms of an incomplete Riemannian manifold

$L^{2}$ FrÃ¶licher inequalities

On the cohomology of $L^{2}$ -harmonic forms of an incomplete Riemannian manifold