{"paper":{"title":"Analyzing the Wu metric on a class of eggs in $\\mathbb{C}^n$ -- II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"G. P. Balakumar, Prachi Mahajan","submitted_at":"2015-03-10T07:24:22Z","abstract_excerpt":"We study the Wu metric for the non-convex domains of the form \\[ E_{2m} = \\big\\{ z \\in \\mathbb{C}^n : \\vert z_1 \\vert^{2m} + \\vert z_2 \\vert^2 + \\ldots + \\vert z_{n-1} \\vert^2 + \\vert z_n \\vert^{2} <1 \\big \\}, \\] where $ 0 < m < 1/2$. Explicit expressions for the Kobayashi metric and the Wu metric on such pseudo-eggs $E_{2m}$ are obtained. The Wu metric is then verified to be a continuous Hermitian metric on $ E_{2m} $ which is real analytic everywhere except along the complex hypersurface $ Z = \\{ (0, z_2, \\ldots, z_n ) \\in E_{2m} \\} $. We also show that the holomorphic sectional curvature of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02791","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"}