no. 7
Stability of solutions to complex Monge–Ampère flows
[Stabilité des solutions de flots de Monge–Ampère complexes]
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 : https://doi.org/10.5802/aif.3227
Classification : 53C44,  32W20,  58J35
Mots clés : Monge–Ampère, stabilité, flot de Kähler–Ricci 
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     author = {Guedj, Vincent and Lu, Chinh H. and Zeriahi, Ahmed},
     title = {Stability of solutions to complex {Monge{\textendash}Amp\`ere} flows},
     journal = {Annales de l'Institut Fourier},
     pages = {2819--2836},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {68},
     number = {7},
     year = {2018},
     doi = {10.5802/aif.3227},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.3227/}
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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://www.numdam.org/articles/10.5802/aif.3227/

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