On the differentiability of Lispschitz maps from metric measure spaces to Banach spaces

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Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane (2008, result): “measure (X1 E,...,Xm E) plays the role of surface measure associated to d. Our interest in this topic was also motivated by the recent papers [ 7 ], [8], where sets of finite perimeter in Carnot groups (and in particular in the Heisenberg groups) are used to study a new notion of dierentiability for”
Local Currents in Metric Spaces (2011, background): “In this context we just mention the functions of bounded higher variation [8, 9, 21, 24, 27], the recent progress on (generalized) flat chains [1, 18, 36, 37], the scans from [10, 11, 16], the differentiation theory on metric measure spaces [4, 5, 22], and the derivations from [29, 30].”