# 東京理科大学理工学部 数学科

seminar:2006:017

### 第17回

• 講演者： Andre Neves 氏 (Princeton大学）
• 題目：Foliations by constant mean curvature and inverse mean curvature flow on asymptotically hyperbolic 3-manifolds
• 日時：平成19年1月25日（木）15:10〜16:10

Asymptotically hyperbolic $3$-manifolds show up naturally in the context of general relativity. I will show that, provided the mass is positive, these manifolds admit a unique foliation by stable spheres with constant mean curvature. In analogy with asymptotically flat manifolds, we can also formulate a Penrose inequality and I will explain, contrarlily to what was expected, why inverse mean curvature flow does not give a proof. This is joint work with Tian and the talk will be self contained.

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seminar/2006/017.txt · 最終更新: 2017/11/17 17:29 (外部編集)