# Mathematical Sciences Research Institute

Home » Riemannian Geometry: On measure-metric continuity of tangent cones in limit spaces with lower Ricci curvature bounds

# Seminar

Riemannian Geometry: On measure-metric continuity of tangent cones in limit spaces with lower Ricci curvature bounds May 17, 2016 (11:00 AM PDT - 12:00 PM PDT)
Parent Program: Differential Geometry MSRI: Simons Auditorium
Speaker(s) Vitali Kapovitch (University of Toronto)
Description No Description
Video
No Video Uploaded
Abstract/Media

We show that if $X$ is a limit of $n$-dimensional Riemannian manifolds with Ricci curvature bounded below and $\gamma$ is a limit geodesic in $X$ then along the interior of $\gamma$ same scale measure metric tangent cones $T_{\gamma(t)}X$ are H\"older continuous with respect to measured Gromov-Hausdorff topology and have the same  dimension in the sense of Colding-Naber. This is joint work with Nan Li.

No Notes/Supplements Uploaded No Video Files Uploaded