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Alexandrov Theorem for constant weighted mean curvature surfaces

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arxiv 2608.05119 v2 pith:7IFSYYO5 submitted 2026-08-05 math.DG

Florian Johne , Lauro Silini This is my paper · ORCID
classification math.DG
keywords alexandrovtheoremclassconsequenceconstantcurvatureeuclideanexpanders
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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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  1. An Alexandrov-type theorem in warped product manifolds with radial density

    math.DG 2026-08 accept novelty 7.0 of 10

    Every closed embedded lambda-self-expander in Euclidean space is a round sphere centered at the origin, proved through a new weighted Heintze-Karcher inequality.

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