{"paper":{"title":"Symmetry via Spherical Reflection and Spanning Drops in a Wedge","license":"","headline":"","cross_cats":["math.MG"],"primary_cat":"math.DG","authors_text":"John McCuan","submitted_at":"1995-09-12T00:00:00Z","abstract_excerpt":"We consider embedded ring-type surfaces (that is, compact, connected, orientable surfaces with two boundary components and Euler-Poincar\\'{e} characteristic zero) in ${\\bold R}^3$ of constant mean curvature which meet planes $\\Pi_1$ and $\\Pi_2$ in constant contact angles $\\gamma_1$ and $\\gamma_2$ and bound, together with those planes, an open set in ${\\bold R}^3$. If the planes are parallel, then it is known that any contact angles may be realized by infinitely many such surfaces given explicitly in terms of elliptic integrals. If $\\Pi_1$ meets $\\Pi_2$ in an angle $\\alpha$ and if $\\gamma_1+\\ga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9509220","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"}