Stability of solutions to complex Monge–Ampère flows
Annales de l'Institut Fourier, Volume 68 (2018) no. 7, pp. 2819-2836.

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.

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.

Published online:
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)
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Guedj, Vincent; Lu, Chinh H.; Zeriahi, Ahmed. Stability of solutions to complex Monge–Ampère flows. Annales de l'Institut Fourier, Volume 68 (2018) no. 7, pp. 2819-2836. doi : 10.5802/aif.3227. https://aif.centre-mersenne.org/articles/10.5802/aif.3227/

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