Metric Properties of Level Surfaces
of Hölder Mappings Defined on Two-Step Carnot Groups
M. B. Karmanova
Translated by I. Ruzanova
Sobolev Institute of Mathematics, Siberian Branch,
Russian Academy of Sciences, Novosibirsk, 630090 Russia
Correspondence to: e-mail: maryka@math.nsc.ru
Received 12 October, 2017
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.
DOI: 10.1134/S1064562418020059