Scholarlink

<p>In this paper we derive an extended Circle Pattern Theorem that allows obtuse overlap angles. As a consequence, we characterize a subclass of compact convex hyperbolic polyhedra with possibly obtuse dihedral angles and thus generalize Andreev’s Theorem. For proofs of these results, we establish a discrete analog of the “weak solution/regularity theory” scheme.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Generalizing Andreev’s Theorem via circle patterns

  • 期刊论文

  • 发表日期：

    2025年9月29日

查看全文
  • Ze Zhou

摘要

In this paper we derive an extended Circle Pattern Theorem that allows obtuse overlap angles. As a consequence, we characterize a subclass of compact convex hyperbolic polyhedra with possibly obtuse dihedral angles and thus generalize Andreev’s Theorem. For proofs of these results, we establish a discrete analog of the “weak solution/regularity theory” scheme.