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<p>For&#xa0;classes of mappings of Engel groups, we establish a&#xa0;criterion for the intrinsic, i.e., sub-Riemannian, Lipschitz property of the graphs constructed by these mappings.Moreover, we obtain a&#xa0;complete description of three-step Carnot groups of a&#xa0;special form that admit the existence of images of intrinsically Lipschitz graphs on them.Several examples of structures and mappings are presented.</p>

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Graphs of Mappings of Engel Groups and a Criterion for Their Intrinsic Lipschitz Property

  • 期刊论文

  • 发表日期：

    2026年7月30日

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  • M. B. Karmanova

摘要

For classes of mappings of Engel groups, we establish a criterion for the intrinsic, i.e., sub-Riemannian, Lipschitz property of the graphs constructed by these mappings.Moreover, we obtain a complete description of three-step Carnot groups of a special form that admit the existence of images of intrinsically Lipschitz graphs on them.Several examples of structures and mappings are presented.