Inverse and implicit function theorems on Carnot manifolds

A. D. Kozhevnikov

Ècole Normale Supérieure, Département de Mathématiques et Applications, Paris, France

Abstract: We obtain some analogs of the Euclidean inverse and implicit function theorems for continuously $hc$-differentiable mappings on Carnot manifolds.

Keywords: Carnot–Carathéodory space, continuous $hc$-differentiability of mappings.

UDC: 514.763.22+512.813.52+517.518.242

Received: 30.08.2009

 English version: Siberian Mathematical Journal, 2010, 51:6, 1047–1060

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