L. D. Di Cerbo

collaborators

2 papers

math.DG2025

A rigidity theorem for Einstein $4$ -manifolds with sectional curvature of a fixed sign, and its consequences

Luca F. Di Cerbo

Any oriented $4$ -dimensional Einstein metric with semi-definite sectional curvature satisfies the pointwise inequality \[ \frac{|s|}{\sqrt{6}}\geq|W^+|+|W^-|, \] where $s$ , $W^{+}$ a…

math.DG2021

Extended Graph 4-Manifolds, and Einstein Metrics

Luca F. Di Cerbo

We show that extended graph 4-manifolds (as defined by Frigerio-Lafont-Sisto in [FLS15]) do not support Einstein metrics.

A rigidity theorem for Einstein 4-manifolds with sectional curvature of a fixed sign, and its consequences

Extended Graph 4-Manifolds, and Einstein Metrics

A rigidity theorem for Einstein $4$ -manifolds with sectional curvature of a fixed sign, and its consequences