Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$

Ming Hsiao

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Rotationally symmetric Ricci Flow on mathbb{R}^(n+1)

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arxiv 2505.23157 v1 pith:YQUUI3KP submitted 2025-05-29 math.DG

Rotationally symmetric Ricci Flow on mathbb{R}^(n+1)

Ming Hsiao This is my paper

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keywords riccirotationallysymmetriccompletecurvatureflowmathbborigin

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We establish a short-time existence theory for complete Ricci flows under scaling-invariant curvature bounds, starting from rotationally symmetric metrics on $\mathbb{R}^{n+1}$ that are noncollapsed at infinity, without assuming bounded curvature. As a consequence, we construct a complete Ricci flow solution coming out of a rotationally symmetric metric, which has a cone-like singularity at the origin and no minimal hypersphere centered at the origin, using an approximation method.

Rotationally symmetric Ricci Flow on mathbb{R}^(n+1)

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