Discovers properties ensuring Lipschitz continuous mappings through compositions in Carnot groups, highlighting their significance.
We consider the composition (or chain) operation on mappings of two-step Carnot groups and explicitly derive properties of mappings that guarantee that their composition is a Lipschitz continuous mapping. We present examples and consider an important case in which one of mappings is a projection.
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M.B. Karmanova (2026) studied this question.
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