$C^{1,1}$ regularity of geodesics in the space of volume forms

Jianchun Chu

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arXiv · 1806.03065

$C^{1,1}$ regularity of geodesics in the space of volume forms

Jianchun Chu

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Abstract

We prove a $C^{1,1}$ estimate for solutions of a class of fully nonlinear equations introduced by Chen-He. As an application, we prove the $C^{1,1}$ regularity of geodesics in the space of volume forms.

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Jianchun Chu. 2018-06-08. $C^{1,1}$ regularity of geodesics in the space of volume forms. https://arxiv.org/abs/1806.03065

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