{"paper":{"title":"Stable capillary hypersurfaces in a wedge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jaigyoung Choe, Miyuki Koiso","submitted_at":"2014-05-21T13:22:13Z","abstract_excerpt":"Let $\\Sigma$ be a compact immersed stable capillary hypersurface in a wedge bounded by two hyperplanes in $\\mathbb R^{n+1}$. Suppose that $\\Sigma$ meets those two hyperplanes in constant contact angles and is disjoint from the edge of the wedge. It is proved that if $\\partial \\Sigma$ is embedded for $n=2$, or if $\\partial\\Sigma$ is convex for $n\\geq3$, then $\\Sigma$ is part of the sphere. And the same is true for $\\Sigma$ in the half-space of $\\mathbb R^{n+1}$ with connected boundary $\\partial\\Sigma$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5407","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}