Existence and stability of shrinkers for the harmonic map heat flow in higher dimensions

Irfan Glogić, Sarah Kistner, Birgit Schörkhuber

We study singularity formation for the heat flow of harmonic maps from ${\mathbb{R}}^d$. For each $d\ge 4$, we construct a compact, $d$-dimensional, rotationally symmetric target manifold…