# Ricci flow of non-collapsed 3-manifolds whose Ricci curvature is bounded from below - Mathematics > Differential Geometry

Ricci flow of non-collapsed 3-manifolds whose Ricci curvature is bounded from below - Mathematics > Differential Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: We consider complete possibly non-compact three dimensional Riemannianmanifolds M,g such that: a M,g is non-collapsed, b the Ricci curvature ofM,g is bounded from below, c the geometry of M,g at infinity is not tooextreme. Given such initial data M,g we show that a Ricci flow exists for ashort time interval. This enables us to construct a Ricci flow of any possiblysingular metric space X,d which arises as a Gromov-Hausdorff limit of asequence of 3-manifolds which satisfy a, b and c uniformly. As a corollarywe show that such an X must be a manifold.

Author: ** Miles Simon**

Source: https://arxiv.org/