Scholarlink

<p>In this paper we show how to replace hyperbolic cusps of a constant scalar curvature manifold with ends of infinite volume - funnels - keeping the scalar curvature constant and negative. This construction produces stable minimal tori belonging to a constant mean curvature foliation extending up to infinity. We discuss the relation of this construction with Penrose-type inequalities on time-symmetric relativistic initial data.</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

From Cusps to Funnels of constant scalar curvature and CMC submanifolds

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年6月23日

查看全文
  • Claudio Arezzo,
  • Samuele Lancini,
  • Lorenzo Mazzieri

摘要

In this paper we show how to replace hyperbolic cusps of a constant scalar curvature manifold with ends of infinite volume - funnels - keeping the scalar curvature constant and negative. This construction produces stable minimal tori belonging to a constant mean curvature foliation extending up to infinity. We discuss the relation of this construction with Penrose-type inequalities on time-symmetric relativistic initial data.