Alexandrov Theorem for constant weighted mean curvature surfaces

Florian Johne; Lauro Silini

Alexandrov Theorem for constant weighted mean curvature surfaces

Differential Geometry 2026-08-05 v1

Authors: Florian Johne , Lauro Silini

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.

Keywords

Alexandrov theorem weighted mean curvature Heintze-Karcher inequality self-expanders log-convex weights

Cite

@article{arxiv.2608.05119,
  title  = {Alexandrov Theorem for constant weighted mean curvature surfaces},
  author = {Florian Johne and Lauro Silini},
  journal= {arXiv preprint arXiv:2608.05119},
  year   = {2026}
}

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