On the linear stability of Kähler-Ricci solitons

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.

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

Cited by in corpus (4)

• Stability and instability of Ricci solitons
• Variation of complex structures and the stability of Kähler-Ricci Solitons
• Linear stability of compact shrinking Ricci solitons
• The stability of non-Kähler Calabi-Yau metrics