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BIMSA-BIT Differential Geometry Seminar
Contractible 3-manifolds and Positive scalar curvature I
Contractible 3-manifolds and Positive scalar curvature I
组织者
河井公大朗
, 钱超
演讲者
Jian Wang
时间
2024年06月12日 15:00 至 17:00
地点
北京理工大学 中关村校区，研究生楼106
线上
Zoom 435 529 7909
(BIMSA)
摘要
In this lecture, we will study contractible 3-manifolds and its relationship with positive scalar curvature. For example, Whitehead manifold is a contractible 3-manifold, but not homomorphic to 3-dimensional Euclidean space. We will give a proof that Whitehead manifold does not have a a complete metric with positive scalar curvature.
Lecture 1: We will focus on the construction of contractible 3-manifold and its topological properties. Particularly, we will describe the topology at infinity of contractible 3-manifolds and its relationship with knot theory.
Lecture 2: We will study the existence of positive scalar curvature metric on contractible 3-manifold. Especially, we will talk about how positive scalar curvature effects the topology at infinity.
Lecture 1: We will focus on the construction of contractible 3-manifold and its topological properties. Particularly, we will describe the topology at infinity of contractible 3-manifolds and its relationship with knot theory.
Lecture 2: We will study the existence of positive scalar curvature metric on contractible 3-manifold. Especially, we will talk about how positive scalar curvature effects the topology at infinity.