English

On the linear stability of K\"ahler-Ricci solitons

Differential Geometry 2012-05-02 v2

Abstract

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

Keywords

Cite

@article{arxiv.1008.1023,
  title  = {On the linear stability of K\"ahler-Ricci solitons},
  author = {Stuart Hall and Thomas Murphy},
  journal= {arXiv preprint arXiv:1008.1023},
  year   = {2012}
}

Comments

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