Alexandrov Theorem for constant weighted mean curvature surfaces

Florian Johne; Lauro Silini

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arXiv · 2608.05119

Alexandrov Theorem for constant weighted mean curvature surfaces

Florian Johne·Lauro Silini

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Abstract

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 $\lambda$-self expanders.

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Florian Johne, Lauro Silini. 2026-08-05. Alexandrov Theorem for constant weighted mean curvature surfaces. https://arxiv.org/abs/2608.05119

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