96 citations · 554 across the 37 of their papers we have counts for
4 papers · 2 filters
The Singular Structure and Regularity of Stationary and Minimizing Varifolds
Aaron Naber, Daniele Valtorta
If one considers an integral varifold with bounded mean curvature, and if $S^k(I)\equiv\{x\in M: \text{ no tangent cone at $x$ is }k+1\text{-symmetric}\}$ is the s…
Weak solutions for the Ricci flow I
Robert Haslhofer, Aaron Naber
This is the first of a series of papers, where we introduce a new class of estimates for the Ricci flow, and use them both to characterize solutions of the Ricci flow and to provid…
Rectifiable-Reifenberg and the Regularity of Stationary and Minimizing Harmonic Maps
Aaron Naber, Daniele Valtorta
In this paper we study the regularity of stationary and minimizing harmonic maps between Riemannian manifolds. If $S^k(f)\equiv\{x\in M: \text{ no tangen…
Topology and ε-regularity Theorems on Collapsed Manifolds with Ricci Curvature Bounds
Aaron Naber, Ruobing Zhang
In this paper we discuss and prove -regularity theorems for Einstein manifolds , and more generally manifolds with just bounded Ricci curvature, in the collapsed settin…