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arXiv · 1805.09401

Ricci flow from some spaces with asymptotically cylindrical singularities

Timothy Carson
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Abstract

We prove the existence of Ricci flow starting from a class of metrics with unbounded curvature, which are doubly-warped products over an interval with a spherical factor pinched off at an end. These provide a forward evolution from some known and conjectured finite-time local singularities of Ricci flow, generalizing previous examples. The class also includes metrics with non-compact singular ends which become instantaneously compact. Furthermore, we prove local stability of the forward evolution, which allows us to glue it to other manifolds and create a forward evolution from spaces which are not globally warped products.

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Timothy Carson. 2018-05-23. Ricci flow from some spaces with asymptotically cylindrical singularities. https://arxiv.org/abs/1805.09401

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