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Los Remedios
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Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow JHBK5 Los RemediosFor 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
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