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- W2300412976 abstract "We use porosity to study differentiability of Lipschitz maps on Carnot groups. Our first result states that directional derivatives of a Lipschitz function act linearly outside a $sigma$-porous set. The second result states that irregular points of a Lipschitz function form a $sigma$-porous set. We use these observations to give a new proof of Pansu's theorem for Lipschitz maps from a general Carnot group to a Euclidean space." @default.
- W2300412976 created "2016-06-24" @default.
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- W2300412976 date "2016-03-15" @default.
- W2300412976 modified "2023-10-15" @default.
- W2300412976 title "Porosity, Differentiability and Pansu's Theorem" @default.
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