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arXiv · 1008.1023

On the linear stability of Kähler-Ricci solitons

Stuart Hall·Thomas Murphy
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Abstract

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

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Stuart Hall, Thomas Murphy. 2010-08-20. On the linear stability of Kähler-Ricci solitons. https://doi.org/10.1090/s0002-9939-2011-10948-1

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