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arXiv · 1404.7381

Nonexistence of shrinkers for the harmonic map flow in higher dimensions

Piotr Bizoń·Arthur Wasserman
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Abstract

We prove that the harmonic map flow from the Euclidean space $\mathbb{R}^d$ into the sphere $S^d$ has no equivariant self-similar shrinking solutions in dimensions $d\geq 7$.

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Piotr Bizoń, Arthur Wasserman. 2014-04-29. Nonexistence of shrinkers for the harmonic map flow in higher dimensions. https://arxiv.org/abs/1404.7381

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