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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 6, Pages 1322–1339
(Mi smj2164)
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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.
Received: 30.08.2009
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
Linking options:
https://www.mathnet.ru/eng/smj2164 https://www.mathnet.ru/eng/smj/v51/i6/p1322
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Abstract page: | 281 | Full-text PDF : | 91 | References: | 40 | First page: | 3 |
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