论文标题
RCD（0,2）结构的模量空间的合同
Contractibility of moduli spaces of RCD(0,2)-structures
论文作者
论文摘要
本文着重于RCD（0,2）空间，可以将其视为可能是非平滑度度量度量空间，其非负RICCI曲率和尺寸小于2。首先，我们建立了一个紧凑型拓扑空间的列表，该拓扑空间承认RCD（0,2）结构。然后，我们描述了它们每个RCD（0,2）结构的相关模量空间。特别是，我们表明所有这些模量空间都是可缩度的。
This paper focuses on RCD(0,2)-spaces, which can be thought of as possibly non-smooth metric measure spaces with non-negative Ricci curvature and dimension less than 2. First, we establish a list of the compact topological spaces admitting an RCD(0,2)-structure. Then, we describe the associated moduli space of RCD(0,2)-structures for each of them. In particular, we show that all these moduli spaces are contractible.
