96 citations · 554 across the 37 of their papers we have counts for
5 papers · 2 filters
Lower Ricci Curvature, Branching, and Bi-Lipschitz Structure of Uniform Reifenberg Spaces
Tobias Holck Colding, Aaron Naber
We study here limit spaces , where the have a lower Ricci curvature bound and are volume noncollapsed. Such limits may…
Characterization of Tangent Cones of Noncollapsed Limits with Lower Ricci Bounds and Applications
Tobias Holck Colding, Aaron Naber
Consider a limit space , where the have a lower Ricci curvature bound and are volume noncollapsed. The tangent cones of $…
Quantitative Stratification and the Regularity of Harmonic Maps and Minimal Currents
Jeff Cheeger, Aaron Naber
We introduce techniques for turning estimates on the infinitesimal behavior of solutions to nonlinear equations (statements concerning tangent cones and blow ups) into more effecti…
Lower Bounds on Ricci Curvature and Quantitative Behavior of Singular Sets
Jeff Cheeger, Aaron Naber
Let Y^n denote the Gromov-Hausdorff limit of a sequence M^n_i-> Y^n of v-noncollapsed riemannian manifolds with Ric_i\geq-(n-1). The singular set S of Y has a stratification S^0\su…
Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
Tobias Colding, Aaron Naber
We prove a new kind of estimate that holds on any manifold with lower Ricci bounds. It relates the geometry of two small balls with the same radius, potentially far apart, but cent…