An area formula for Lipschitz mappings of Carnot--Carath\'eodory spaces

M. B. Karmanova

Izvestiya. Mathematics , Tome 78 (2014) no. 3, pp. 475-499.

Résumé

We prove a sub-Riemannian analogue of the area formula for Lipschitz mappings (in the sub-Riemannian sense) between equiregular Carnot–Carathéodory spaces. In particular, we give an adequate analytic definition of the sub-Riemannian Jacobian.

Détail

Keywords: Carnot–Carathéodory space, differentiability, Lipschitz mapping, sub-Riemannian quasi-metric, area formula.

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