no. 7
Stability of solutions to complex Monge–Ampère flows
[Stabilité des solutions de flots de Monge–Ampère complexes]
Guedj, Vincent1 ; Lu, Chinh H.2 ; Zeriahi, Ahmed1
1 Institut de Mathématiques de Toulouse Université de Toulouse, CNRS UPS IMT 118 route de Narbonne 31062 Toulouse cedex 09 (France)
2 Laboratoire de Mathématiques d’Orsay Univ. Paris-Sud, CNRS Université Paris-Saclay 91405 Orsay (France)
Annales de l'Institut Fourier, Tome 68 (2018) no. 7, pp. 2819-2836.

Nous établissons un résultat de stabilité pour les équations de Monge–Ampère complexes elliptiques et paraboliques sur les variétés Kähleriennes compactes, qui s’appliquent en particulier au flot de Kähler–Ricci.

We establish a stability result for elliptic and parabolic complex Monge–Ampère equations on compact Kähler manifolds, which applies in particular to the Kähler–Ricci flow.

Publié le :
DOI : 10.5802/aif.3227
Classification : 53C44, 32W20, 58J35
Keywords: Monge–Ampère, stability, Kähler–Ricci flow
Mot clés : Monge–Ampère, stabilité, flot de Kähler–Ricci
Guedj, Vincent 1 ; Lu, Chinh H. 2 ; Zeriahi, Ahmed 1

1 Institut de Mathématiques de Toulouse Université de Toulouse, CNRS UPS IMT 118 route de Narbonne 31062 Toulouse cedex 09 (France)
2 Laboratoire de Mathématiques d’Orsay Univ. Paris-Sud, CNRS Université Paris-Saclay 91405 Orsay (France) 
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     title = {Stability of solutions to complex {Monge{\textendash}Amp\`ere} flows},
     journal = {Annales de l'Institut Fourier},
     pages = {2819--2836},
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Guedj, Vincent; Lu, Chinh H.; Zeriahi, Ahmed. Stability of solutions to complex Monge–Ampère flows. Annales de l'Institut Fourier, Tome 68 (2018) no. 7, pp. 2819-2836. doi : 10.5802/aif.3227. http://archive.numdam.org/articles/10.5802/aif.3227/

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