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

Felix Schulze; Miles Simon

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

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arxiv 1008.1408 v2 pith:OQCJHHIA submitted 2010-08-08 math.DG

Felix Schulze , Miles Simon This is my paper · ORCID

classification math.DG

keywords solutionasymptoticcomingcurvatureestimatesexpandinglimitnon-negative

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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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