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• W1486470368 abstract "We first define Pseudo-Calabi flow, as {equation*} {{aligned}{{partial varphi}over {partial t}}&= -f(varphi), triangle_varphi f(varphi) &= S(varphi) - ul S.{aligned}. end{equation*} Then we prove the well-posedness of this flow including the short time existence, the regularity of the solution and the continuous dependence on the initial data. Next, we point out that the $L^infty$ bound on Ricci curvature is an obstruction to the extension of the pseudo-Calabi flow. Finally, we show that if there is a cscK metric in its Kahler class, then for any initial potential in a small $C^{2,alpha}$ neighborhood of it, the pseudo-Calabi flow must converge exponentially to a nearby cscK metric." @default.
• W1486470368 created "2016-06-24" @default.
• W1486470368 creator A5029837615 @default.
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• W1486470368 date "2013-01-01" @default.
• W1486470368 modified "2023-09-26" @default.
• W1486470368 title "The pseudo-Calabi flow" @default.
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• W1486470368 doi "https://doi.org/10.1515/crelle.2012.033" @default.
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