Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow JHBK5 The brainchild of Canadian-born

The brainchild of Canadian-born

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Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow JHBK5 The brainchild of Canadian-bornFor 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