2 papers
math.DG2026
Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures
Joseph Duthie
This paper establishes foundational analytic and geometric results for a broad class of reasonable flows of Spin()-structures. We first prove Shi-type derivative estimates, show…
math.DG2025
Explicit solutions to the gradient flow of Spin(7)-structures
Joseph Duthie
We study the gradient flow of Spin()-structures and construct the first explicit solutions, in the homogeneous setting. As an intermediate step, we obtain formulae expressing th…