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• W2943040412 abstract "For any manifold $N^p$ admitting an Einstein metric with positive Einstein constant, we study the behavior of the Ricci flow on high-dimensional products $M = N^p times S^{q+1}$ 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 rate $| Rm |_{infty} (t) gtrsim (T-t)^{-k}$ with singularity modeled on a Ricci-flat cone at parabolic scales." @default.
• W2943040412 created "2019-05-09" @default.
• W2943040412 creator A5062575485 @default.
• W2943040412 date "2019-05-02" @default.
• W2943040412 modified "2023-09-27" @default.
• W2943040412 title "Curvature blow-up in doubly-warped product metrics evolving by Ricci flow" @default.
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• W2943040412 doi "https://doi.org/10.26153/tsw/2936" @default.
• W2943040412 hasPublicationYear "2019" @default.
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