Lauro Silini

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20222026

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math.DG2026

Alexandrov Theorem for constant weighted mean curvature surfaces

Florian Johne, Lauro Silini

We prove a Heintze--Karcher type inequality for a large class of log-convex weights in Euclidean and Hyperbolic spaces. As a consequence we obtain an Alexandrov theorem for $λ$ -sel…

math.DG2023

Quantitative $C^{1}$ -stability of spheres in rank one symmetric spaces of non-compact type

Lauro Silini

We prove that in any rank one symmetric space of non-compact type $M \in {R H^{n}, C H^{m}, H H^{m}, O H^{2}}$ , geodesic spheres are uniformly quantitative…

math.DG2022

Approaching the isoperimetric problem in $H_{C}^{m}$ via the hyperbolic log-convex density conjecture

Lauro Silini

We prove that geodesic balls centered at some base point are isoperimetric in the real hyperbolic space $H_{R}^{n}$ endowed with a smooth, radial, strictly log-convex density…

Alexandrov Theorem for constant weighted mean curvature surfaces

Quantitative C1-stability of spheres in rank one symmetric spaces of non-compact type

Approaching the isoperimetric problem in HCm​ via the hyperbolic log-convex density conjecture

Quantitative $C^{1}$ -stability of spheres in rank one symmetric spaces of non-compact type

Approaching the isoperimetric problem in $H_{C}^{m}$ via the hyperbolic log-convex density conjecture