3 papers
math.DG2026
Complete noncompact G2-manifolds with ALC asymptotics
Lorenzo Foscolo, Mark Haskins, Johannes Nordström
We prove existence, uniqueness and structure results for complete noncompact 7-dimensional G2-holonomy metrics with ALC (asymptotically locally conical) asymptotics. We regard such…
math.DG2025
Cohomogeneity-one solitons in Laplacian flow: local, smoothly-closing and steady solitons
Mark Haskins, Johannes Nordström
We initiate a systematic study of cohomogeneity-one solitons in Bryant's Laplacian flow of closed G_2-structures on a 7-manifold, motivated by the problem of understanding finite-t…
math.DG2025
Sp(2)-invariant expanders and shrinkers in Laplacian flow
Mark Haskins, Rowan Juneman, Johannes Nordström
We show that the complete Sp(2)-invariant expanding solitons for Bryant's Laplacian flow on the anti-self-dual bundle of the 4-sphere form a 1-parameter family, and that they are a…