Browsing MIT Open Access Articles by Author "Naber, Aaron Charles"
Now showing items 15 of 5

Characterization of Tangent Cones of Noncollapsed Limits with Lower Ricci Bounds and Applications
Colding, Tobias; Naber, Aaron Charles (SpringerVerlag, 201301)Consider a limit space (M[subscript α],g[subscript α],p[subscript α]) [superscript GH over →] (Y, d[subscript Y], p), where the M[superscript n over α] have a lower Ricci curvature bound and are volume noncollapsed. The ... 
Lower bounds on Ricci curvature and quantitative behavior of singular sets
Cheeger, Jeff; Naber, Aaron Charles (SpringerVerlag, 201203)Let Yn denote the GromovHausdorff limit M[superscript n][subscript i][d[subscript GH] over ⟶]Y[superscript n] of vnoncollapsed Riemannian manifolds with Ric[subscript M[superscript n][subscript i]] ≥ −(n−1). The ... 
Lower Ricci curvature, branching and the bilipschitz structure of uniform Reifenberg spaces
Colding, Tobias; Naber, Aaron Charles (Elsevier, 201310)We study here limit spaces (M[subscript α], g[subscript α], p[subscript α]) [GH over →] (Y, d[subscript Y], p), where the M[subscript α] have a lower Ricci curvature bound and are volume noncollapsed. Such limits Y may ... 
Quantitative Stratification and the Regularity of Mean Curvature Flow
Cheeger, Jeff; Haslhofer, Robert; Naber, Aaron Charles (SpringerVerlag, 201304)Let M be a Brakke flow of ndimensional surfaces in R[superscript N]. The singular set S ⊂ M has a stratification S[superscript 0] ⊂ S[superscript 1] ⊂ ⋯ S, where X ∈ S[superscript j] if no tangent flow at X has more than ... 
Sharp Holder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
Colding, Tobias; Naber, Aaron Charles (Princeton University Press, 201209)We prove a new estimate on manifolds with a lower Ricci bound which asserts that the geometry of balls centered on a minimizing geodesic can change in at most a Holder continuous way along the geodesic. We give examples ...