On the linear stability of K\"ahler-Ricci solitons
classification
🧮 math.DG
keywords
ahler-riccisolitonsahler-einsteincao-hamilton-ilmanencaseextendslinearlinearly
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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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