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arXiv · 2609.24766

The spherical cap conjecture for immersed disks

José M. Espinar
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Abstract

We prove that every smooth immersed disk in Euclidean three-space with nonzero constant mean curvature, regular up to the boundary and mapping its boundary diffeomorphically onto a circle, is an embedded spherical cap.

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José M. Espinar. 2026-09-21. The spherical cap conjecture for immersed disks. https://arxiv.org/abs/2609.24766

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