Lower Bounds on Ricci Curvature and Quantitative Behavior of Singular Sets

Details Lower Bounds on Ricci Curvature and Quantitative Behavior of Singular Sets Lower Bounds on Ricci Curvature and Quantitative Behavior of Singular Sets

2011-03-09

arxiv.org/abs/1103.1819v3

Mathematics

Differential Geometry

Additional explanation and new section outlining arguments

Scientific paper

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\subset S^1\subset\...\subset S, where y\in S^k if no tangent cone at y splits off a factor R^{k+1} isometrically. There is a known Hausdorff dimension bound dimS^k\leq k. Here, we define for all \eta>0, 0

Affiliated with

Also associated with

No associations

Rating

Lower Bounds on Ricci Curvature and Quantitative Behavior of Singular Sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lower Bounds on Ricci Curvature and Quantitative Behavior of Singular Sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lower Bounds on Ricci Curvature and Quantitative Behavior of Singular Sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-644790