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

Author:   Maxwell Stolarski
Publisher:   American Mathematical Society
Volume:   Volume: 295 Number: 1470
ISBN:  

9781470468767


Pages:   153
Publication Date:   31 May 2024
Format:   Paperback
Availability:   Not yet available   Availability explained
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Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow


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Overview

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.

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Author:   Maxwell Stolarski
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   Volume: 295 Number: 1470
ISBN:  

9781470468767


ISBN 10:   147046876
Pages:   153
Publication Date:   31 May 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Forthcoming
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

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Maxwell Stolarski, Arizona State University, Tempe, AZ.

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