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On the linear stability of Kähler-Ricci solitons

Published 5 Aug 2010 in math.DG | (1008.1023v2)

Abstract: This is a short note proving that K\"ahler-Ricci solitons with $\dim H{(1,1)}(M)\ge 2$ are linearly unstable. This extends the results of Cao-Hamilton-Ilmanen in the K\"ahler-Einstein case.

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