paper

Linear Stability of Steady and Expanding Kähler-Ricci Solitons

arXiv:2609.21472

Abstract

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 particular, every asymptotically conical expanding gradient Kähler-Ricci soliton is strictly linearly stable.

14 pages, comments welcome