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Journal Article

Nonexistence of shrinkers for the harmonic map flow in higher dimensions

MPS-Authors

Bizon,  Piotr
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1404.7381.pdf
(Preprint), 113KB

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Citation

Bizon, P., & Wasserman, A. (2015). Nonexistence of shrinkers for the harmonic map flow in higher dimensions. International Mathematics Research Notices, 2015(17), 7757-7762. doi:10.1093/imrn/rnu176.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0B1A-F
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 $d\geq 7$.