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arXiv · 1008.1408

Expanding solitons with non-negative curvature operator coming out of cones

Felix Schulze·Miles Simon
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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.

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Felix Schulze, Miles Simon. 2010-08-08. Expanding solitons with non-negative curvature operator coming out of cones. https://arxiv.org/abs/1008.1408

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