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<p>We consider two-step Carnot groups and their model cases andstudy the existence of graph mappings on them that are Lipschitz in the intrinsic sense.For the general case of two-step Carnot groups, a criterion for the Lipschitz property of a graphmapping is derived in terms of the mapping that models this graph.Examples are given that demonstrate the specificity of the necessary and sufficient conditions established.</p>

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Lipschitz Graphs on Classes of Two-Step Carnot Groups

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • M. B. Karmanova

摘要

We consider two-step Carnot groups and their model cases andstudy the existence of graph mappings on them that are Lipschitz in the intrinsic sense.For the general case of two-step Carnot groups, a criterion for the Lipschitz property of a graphmapping is derived in terms of the mapping that models this graph.Examples are given that demonstrate the specificity of the necessary and sufficient conditions established.