Gilles Carron

activity

20212026

most citedLimits of manifolds with a Kato bound on the Ricci curvature

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2026

Open $3$ -manifolds with non negative Ricci curvature in a spectral or integral sense

Gilles Carron

We show that if a complete Riemannian $3 -$ manifold has $L^{\frac{3}{2}} -$ integrable Ricci curvature, satisfies a Sobolev inequality and has a non negative Ricci curvature in a spectr…

math.DG2024

Strong Kato limit can be branching

Gilles Carron, Ilaria Mondello, David Tewodrose

We provide an example of a non-collapsed strong Kato limit that is branching, essentially branching, and satisfies neither the $CD (K, \infty)$ nor the $MCP (K, N)$ c…

math.DG2021★ 3 cited

Limits of manifolds with a Kato bound on the Ricci curvature

Gilles Carron, Ilaria Mondello, David Tewodrose

We study the structure of Gromov-Hausdorff limits of sequences of Riemannian manifolds ${(M_{α}^{n}, g_{α})}_{α \in A}$ whose Ricci curvature satisfies a uniform Kato bound. We first obt…

Open 3-manifolds with non negative Ricci curvature in a spectral or integral sense

Strong Kato limit can be branching

Limits of manifolds with a Kato bound on the Ricci curvature

Open $3$ -manifolds with non negative Ricci curvature in a spectral or integral sense