C^(1,1) regularity of geodesics in the space of volume forms
classification
🧮 math.DG
math.AP
keywords
formsgeodesicsproveregularityspacevolumeapplicationchen-he
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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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