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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 6, Pages 1322–1339 (Mi smj2164)  
Inverse and implicit function theorems on Carnot manifolds

A. D. Kozhevnikov

Ècole Normale Supérieure, Département de Mathématiques et Applications, Paris, France
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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.
Received: 30.08.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 6, Pages 1047–1060
DOI: https://doi.org/10.1007/s11202-010-0103-7
Bibliographic databases:
Document Type: Article
UDC: 514.763.22+512.813.52+517.518.242
Language: Russian
Citation: A. D. Kozhevnikov, “Inverse and implicit function theorems on Carnot manifolds”, Sibirsk. Mat. Zh., 51:6 (2010), 1322–1339; Siberian Math. J., 51:6 (2010), 1047–1060
Citation in format AMSBIB
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