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Local geometry of Carnot manifolds under minimal smoothness

Local geometry of Carnot manifolds under minimal smoothness,10.1134/S1064562407020172,Doklady Mathematics,S. K. Vodop’yanov,M. B. Karmanova

Local geometry of Carnot manifolds under minimal smoothness   (Citations: 17)
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Journal: Doklady Mathematics - DOKL MATH , vol. 75, no. 2, pp. 240-246, 2007
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    • ...Following [6, 7], we equip some neighborhood of an arbitrary point g ∈ M with the structure of a Carnot group...

    A. D. Kozhevnikov. Inverse and implicit function theorems on carnot manifolds

    • ...Mitchell [16], Bella¨õche [2], the paper of Gromov asking for an intrinsic point of view for sub-riemannian geometry [12], Margulis, Mostow [14], [15], dedicated to Rademacher theorem for sub-riemannian manifolds and to the construction of a tangent bundle of such manifolds, and Vodopyanov [20] [21], Vodopyanov and Karmanova [22], fundamental results concerning the intrinsic properties of sub-riemannian spaces endowed with the ...
    • ... results by Bella¨õche [2], first to speak about normal frames, providing rigorous proofs for this existence in a flow of results between theorem 4.15 and ending in the first half of section 7.3 (page 62), Gromov [12] in his approximation theorem p. 135 (conclusion of the point (a) below), as well in his convergence results concerning the nilpotentization of vector fields (related to point (b) below), Vodopyanov and others [20] ...

    Marius Buliga. A characterization of sub-riemannian spaces as length dilatation struc...

    • ...Main results of Section 2 are formulated in short communications [132, 133]...

    Maria Karmanovaet al. Geometry of Carnot--Carath\'{e}odory Spaces, Differentiability and Coa...

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