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Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow by Maxwell Stolarski 9781470468767
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Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow by Maxwell Stolarski 9781470468767

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Description

For any manifold Np admitting an Einstein metric with positive Einstein constant, we study the behavior of the Ricci flow on high-dimensional products M = Np × Sq+1 with doubly warped product metrics. In particular, we provide a rigorous construction of local, type II, conical singularity formation on such spaces. It is shown that for any k > 1 there exists a solution with curvature blow-up rateRm ∞ (t) (T ? t)?k with singularity modeled on a Ricci-flat cone at parabolic scales.

Book Information
ISBN 9781470468767
Author Maxwell Stolarski
Format Paperback
Page Count 153
Imprint American Mathematical Society
Publisher American Mathematical Society

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