Expanding solitons with non-negative curvature operator coming out of cones
Differential Geometry
2012-07-31 v2
Abstract
We consider Ricci flow of complete Riemannian manifolds which have bounded non-negative curvature operator, non-zero asymptotic volume ratio and no boundary. We prove scale invariant estimates for these solutions. Using these estimates, we show that there is a limit solution, obtained by scaling down this solution at a fixed point in space. This limit solution is an expanding soliton coming out of the asymptotic cone at infinity.
Keywords
Cite
@article{arxiv.1008.1408,
title = {Expanding solitons with non-negative curvature operator coming out of cones},
author = {Felix Schulze and Miles Simon},
journal= {arXiv preprint arXiv:1008.1408},
year = {2012}
}
Comments
v.2. Added some missing references and made some minor rearrangements.14 pages