{"paper":{"title":"Energy-minimal diffeomorphisms between doubly connected Riemann surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"David Kalaj","submitted_at":"2011-08-03T07:49:51Z","abstract_excerpt":"Let $N=(\\Omega,\\sigma)$ and $M=(\\Omega^*,\\rho)$ be doubly connected\n  Riemann surfaces and assume that $\\rho$ is a smooth metric with bounded Gauss curvature $\\mathcal{K}$ and finite area. The paper establishes the existence of homeomorphisms between $\\Omega$ and $\\Omega^*$ that minimize the Dirichlet energy.\n  In the class of all homeomorphisms $f \\colon \\Omega \\onto \\Omega^\\ast$ between doubly connected domains such that $\\Mod \\Omega \\le \\Mod \\Omega^\\ast$ there exists, unique up to conformal authomorphisms of $\\Omega$, an energy-minimal diffeomorphism which is a harmonic diffeomorphism. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0773","kind":"arxiv","version":2},"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"}