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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 x 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.

About the Author
Maxwell Stolarski, Arizona State University, Tempe, AZ.


Book Information
ISBN 9781470468767
Author Maxwell Stolarski
Format Paperback
Page Count 153
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 272g

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