{"paper":{"title":"Stable P-symmetric closed characteristics on partially symmetric compact convex hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Duanzhi Zhang, Hui Liu","submitted_at":"2015-04-30T02:41:41Z","abstract_excerpt":"In this paper, let $n\\geq2$ be an integer, $P=diag(-I_{n-\\kappa},I_\\kappa,-I_{n-\\kappa},I_\\kappa)$ for some integer $\\kappa\\in[0, n-1)$, and $\\Sigma \\subset {\\bf R}^{2n}$ be a partially symmetric compact convex hypersurface, i.e., $x\\in \\Sigma$ implies $Px\\in\\Sigma$. We prove that if $\\Sigma$ is $(r,R)$-pinched with $\\frac{R}{r}<\\sqrt{\\frac{5}{3}}$, then $\\Sigma$ carries at least two geometrically distinct P-symmetric closed characteristics which possess at least $2n-4\\kappa$ Floquet multipliers on the unit circle of the complex plane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.08060","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"}