On the linear stability of Kähler-Ricci solitons
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- by Stuart J. Hall and Thomas Murphy PDF
- Proc. Amer. Math. Soc. 139 (2011), 3327-3337 Request permission
Abstract:
We show 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.References
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Additional Information
- Stuart J. Hall
- Affiliation: Department of Mathematics, Imperial College, London, SW7 2AZ, United Kingdom
- MR Author ID: 937287
- Email: stuart.hall06@imperial.ac.uk
- Thomas Murphy
- Affiliation: School of Mathematical Sciences, University College Cork, Ireland
- Email: tommy.murphy@ucc.ie
- Received by editor(s): August 21, 2010
- Published electronically: March 9, 2011
- Additional Notes: This work forms part of the first author’s Ph.D thesis funded by the EPSRC. He would like to thank his advisor, Professor Simon Donaldson, for his comments and encouragement during the course of this work.
The second author was supported by an IRCSET postgraduate fellowship. The authors would also like to thank Professor Huai-Dong Cao for useful communications. - Communicated by: Jianguo Cao
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3327-3337
- MSC (2010): Primary 53C44; Secondary 53C25
- DOI: https://doi.org/10.1090/S0002-9939-2011-10948-1
- MathSciNet review: 2811287