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Variation of complex
structures and the stability of Kähler–Ricci Solitons
Stuart J. Hall and Thomas Murphy |
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Vol. 265 (2013), No. 2, 441–454
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Abstract |
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We investigate the linear stability of Kähler–Ricci solitons for perturbations induced by varying the complex structure within a fixed Kähler class. We calculate stability for the known examples of Kähler–Ricci solitons. |
Keywords
Kähler–Ricci soliton, Perelman functional, linear stability
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Mathematical Subject Classification 2010
Primary: 53C44
Secondary: 53C25
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Milestones
Received: 6 July 2012
Revised: 16 April 2013
Accepted: 13 June 2013
Published: 28 August 2013
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Authors |
| Stuart J. Hall | |
| Department of Applied
Computing University of Buckingham Hunter Street Buckingham, MK18 1G United Kingdom |
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| Thomas Murphy | |
| Départment de Mathématique Université Libre de Bruxelles CP 218, Boulevard du Triomphe 1050 Bruxelles Belgium |
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