Type-I Blowup Solutions for Yang-Mills Flow

Jaehwan Kim; Sanghoon Lee

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arXiv · 2411.19293

Type-I Blowup Solutions for Yang-Mills Flow

Jaehwan Kim·Sanghoon Lee

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Abstract

In this paper, we construct an infinite-dimensional family of solutions for the Yang-Mills flow on $\mathbb{R}^n \times SO(n)$ for $5 \leq n \leq 9$, which converge to $SO(n)$-equivariant homothetically shrinking solitons, modulo the gauge group. As a corollary, we prove the existence of asymmetric Type-I blowup solutions for the Yang-Mills flow.

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Jaehwan Kim, Sanghoon Lee. 2024-11-28. Type-I Blowup Solutions for Yang-Mills Flow. https://arxiv.org/abs/2411.19293

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