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On a conjecture of Cheeger by De Philippis, Guido; Marchese, Andrea; Rindler, Filip is a scholarly article available to read on EtoBox.

What is On a conjecture of Cheeger about?

This note details how a recent structure theorem for normal $1$-currents proved by the first and third author allows to prove a conjecture of Cheeger concerning the structure of Lipschitz differentiability spaces. More precisely, we show that the push-forward of the measure from a Lipschitz differentiability space under a chart is absolutely continuous with respect to Lebesgue measure.

Author

De Philippis, Guido; Marchese, Andrea; Rindler, Filip

Published

2016

Language

EN