3 papers
math.DG2026
Linear Stability of Steady and Expanding Kähler-Ricci Solitons
Lucas Lavoyer, Adam Thompson
We prove linear stability of all steady and expanding gradient Kähler-Ricci solitons. In the expanding case, we prove strict linear stability under very general assumptions. In par…
math.DG2025
Expanding Ricci solitons and Higgs bundles
Ramiro A. Lafuente, Adam Thompson
Motivated by the long-time behavior of Ricci flows that collapse with bounded curvature, we study expanding Ricci solitons with nilpotent symmetry on vector bundles over a closed m…
math.DG2022
Bach Flow of Simply Connected Nilmanifolds
Adam Thompson
The Bach flow is a fourth order geometric flow defined on four manifolds. For a compact manifold, it is a conformally modified gradient flow for the -norm of the Weyl curvatur…