{"paper":{"title":"Bounds for Invariant Distances on Pseudoconvex Levi Corank One Domains and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"G. P. Balakumar, Kaushal Verma, Prachi Mahajan","submitted_at":"2013-03-14T13:23:17Z","abstract_excerpt":"Let $D \\subset \\mathbb{C}^n$ be a smoothly bounded pseudoconvex Levi corank one domain with defining function $r$, i.e., the Levi form $\\partial \\bar {\\partial} r$ of the boundary $\\partial D$ has at least $(n - 2)$ positive eigenvalues everywhere on $\\partial D$. The main goal of this article is to obtain a lower bound for the Carath\\'{e}odory, Kobayashi and the Bergman distance between a given pair of points $p, q \\in D$ in terms of parameters that reflect the Levi geometry of $\\partial D$ and the distance of these points to the boundary. Applications include an understanding of Fridman's in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3439","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"}