On the linear stability of Kähler-Ricci solitons

Details On the linear stability of Kähler-Ricci solitons On the linear stability of Kähler-Ricci solitons

2010-08-05

arxiv.org/abs/1008.1023v2

Mathematics

Differential Geometry

11 pages; typos corrected, presentation improved and references added in v.2

Scientific paper

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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