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arXiv · 2202.06659

Contractibility of moduli spaces of RCD(0,2)-structures

Dimitri Navarro
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Abstract

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.

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Dimitri Navarro. 2022-02-14. Contractibility of moduli spaces of RCD(0,2)-structures. https://arxiv.org/abs/2202.06659

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