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<p>An explicit form of sub-Riemannian differentials of graph mappings that are Lipschitz in the intrinsic sense on two-step Carnot groups is derived, and the differential and metric properties of mappings defining such graphs are described.</p>

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Metric Properties of Mappings Defining Lipschitz Graphs on Two-Step Carnot Groups

  • 期刊论文

  • 发表日期：

    2025年11月24日

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  • M. B. Karmanova

摘要

An explicit form of sub-Riemannian differentials of graph mappings that are Lipschitz in the intrinsic sense on two-step Carnot groups is derived, and the differential and metric properties of mappings defining such graphs are described.