2 papers
math.DG2026
On bubbling of Fueter maps
Jacek Rzemieniecki
We study bubbling for sequences of solutions of the Hamiltonian-perturbed Fueter equation. By Walpuski's compactness theorem, a bounded-energy sequence converges weakly to a Fueter…
math.DG2026
Non-Existence of Smooth Full-Holonomy Cayley Fibrations
Jianfeng Lin, Viktor F. Majewski, Jacek Rzemieniecki
We prove that every Cayley fibration of a compact torsion-free Spin(7)-manifold with full holonomy must have singular fibers. This confirms a long-standing expectation in the study…