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$C^{1,1}$ regularity of geodesics in the space of volume forms (1806.03065v2)

Published 8 Jun 2018 in math.DG and math.AP

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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