{"paper":{"title":"Lower bounds on the Bergman metric near points of infinite type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Dau The Phiet, Ninh Van Thu","submitted_at":"2017-02-23T08:01:22Z","abstract_excerpt":"Let $\\Omega$ be a pseudoconvex domain in $\\mathbb C^n$ satisfying an $f$-property for some function $f$. We show that the Bergman metric associated to $\\Omega$ has the lower bound $\\tilde g(\\delta_\\Omega(z)^{-1})$ where $\\delta_\\Omega(z)$ is the distance from $z$ to the boundary $\\partial\\Omega$ and $\\tilde g$ is a specific function defined by $f$. This refines Khanh-Zampieri's work in \\cite{KZ12} with reducing the smoothness assumption of the boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07126","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"}