33 citations · 96 across the 16 of their papers we have counts for
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math.DG2023★ 1 cited
Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality
Stefano Borghini, Mattia Fogagnolo
Substatic Riemannian manifolds with minimal boundary arise naturally in General Relativity as spatial slices of static spacetimes satisfying the Null Energy Condition. Moreover, th…
math.DG2023
The equality case in the substatic Heintze-Karcher inequality
Stefano Borghini, Mattia Fogagnolo, Andrea Pinamonti
We provide a rigidity statement for the equality case for the Heintze-Karcher inequality in substatic manifolds. We apply such result in the warped product setting to fully remove…
math.DG2023★ 1 cited
Counterexamples to a divergence lower bound for the covariant derivative of skew-symmetric 2-tensor fields
Stefano Borghini, Lorenzo Mazzieri
In arXiv:2103.15482 an estimate for suitable skew-symmetric 2-tensors was claimed. Soon after, this estimate has been exploited to claim powerful classification results: most notab…