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Metric Properties of Level Surfaces of Hölder Mappings Defined on Two-Step Carnot Groups

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Abstract

For a model case of Hölder mappings of two-step nilpotent graded groups, the metric properties of level surfaces are established. A version of the coarea formula for noncontact mappings is deduced as an application.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    M. B. Karmanova

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  1. M. B. Karmanova
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Correspondence to M. B. Karmanova.

Additional information

Original Russian Text © M.B. Karmanova, 2018, published in Doklady Akademii Nauk, 2018, Vol. 479, No. 2, pp. 126–129.

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Karmanova, M.B. Metric Properties of Level Surfaces of Hölder Mappings Defined on Two-Step Carnot Groups. Dokl. Math. 97, 122–124 (2018). https://doi.org/10.1134/S1064562418020059

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  • DOI: https://doi.org/10.1134/S1064562418020059

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