This https://t.co/FCVqCJWbL9 has been replaced. Links: https://t.co/vGv9Br6iEu https://t.co/AjEIFkzLZO https://t.co/FT6Oh0izvZ https://t.co/CNDwCpu4Vz
Type-$\mathrm{I}$ singularities as being modelled on shrinking solitons.We also establish a Bryant-type description of isometric $\mathrm{Spin}(7)$-structures, based on squares of spinors, which may be of independent interest. [4/4 of https://t.co/YiTIDFSi
a monotonicity formula along the flow, which actually leads to an $\varepsilon$-regularity theorem. Moreover, we prove Cheeger--Gromov and Hamilton-type compactness theorems for the solutions of the harmonic flow, and we characterise [3/4 of https://t.co/Y
a correspondence between harmonic solitons and self-similar solutions for arbitrary isometric flows of $H$-structures. We then specialise to $H=\mathrm{Spin}(7)\subset\mathrm{SO}(8)$, obtaining conditions for long-time existence, via [2/4 of https://t.co/Y