Degeneration of shrinking Ricci solitons
Differential Geometry
2009-09-15 v1
Abstract
Let be a Gromov-Hausdorff limit of closed shrinking Ricci solitons with uniformly upper bounded diameter and lower bounded volume. We prove that off a closed subset of codimension at least 2, is a smooth manifold satisfying a shrinking Ricci soliton equation.
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Cite
@article{arxiv.0909.2313,
title = {Degeneration of shrinking Ricci solitons},
author = {Zhenlei Zhang},
journal= {arXiv preprint arXiv:0909.2313},
year = {2009}
}
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16 pages