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Differentiability of mappings of Carnot manifolds and isomorphism of tangent cones - MaRDI portal

Differentiability of mappings of Carnot manifolds and isomorphism of tangent cones (Q610516)

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scientific article; zbMATH DE number 5824756
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Differentiability of mappings of Carnot manifolds and isomorphism of tangent cones
scientific article; zbMATH DE number 5824756

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    Differentiability of mappings of Carnot manifolds and isomorphism of tangent cones (English)
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    8 December 2010
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    This paper studies the hc-differentiability for a class of mappings of Carnot manifolds and shows that the correspondence local basis \(\mapsto\) nilpotent tangent cone is functorial. This results generalizes the work of \textit{G. A. Margulis} and \textit{G. D. Mostow} [Geom. Funct. Anal. 5, No.~2, 402--433 (1995; Zbl 0910.30020)].
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    Carnot manifolds
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    hc-differentiability
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    tangent cone
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