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Linear Stability of Steady and Expanding Kähler-Ricci Solitons

Lavoyer, Lucas et al.
arXiv (All) · Papers
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differential-geometry
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.
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