On the linear stability of Kähler-Ricci solitons

preprint2010arXivOpen access

Abstract

This is a short note proving that Kähler-Ricci solitons with dim⁡H(1,1)(M)≥2\dim H^{(1,1)}(M)\ge 2 are linearly unstable. This extends the results of Cao-Hamilton-Ilmanen in the Kähler-Einstein case.

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