3 citations · 3 across the 4 of their papers we have counts for
4 papers
Nonnegative Ricci curvature and virtual abelianness in dimensions less than 12
Dimitri Navarro, Jiayin Pan, Xingyu Zhu
For any complete Riemannian manifold with nonnegative Ricci curvature and sublinear diameter growth, we establish a dimensional constraint if the fundament…
Complete manifolds with nonnegative Ricci curvature and slow relative volume growth
Dimitri Navarro, Jiayin Pan, Xingyu Zhu
For any complete and noncompact manifold with , we define a function that describes the growth of relative volume asymptotically $$\mathrm{R…
Contractibility of moduli spaces of RCD(0,2)-structures
Dimitri Navarro
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 e…
Moduli spaces of compact RCD(0,N)-structures
Andrea Mondino, Dimitri Navarro
The goal of the paper is to set the foundations and prove some topological results about moduli spaces of non-smooth metric measure structures with non-negative Ricci curvature in…