On Lipschitz Property of Mappings' Compositions on Two-Step Carnot Groups

Maria B. Karmanova

On Lipschitz Property of Mappings' Compositions on Two-Step Carnot Groups

Maria B. Karmanova

Scopus Author ID: 8609942600

Researcher ID: 156607

1. Sobolev Institute of Mathematics SBRAS, Novosibirsk, Russia

maryka@math.nsc.ru,maryka84@gmail.com

The material was received by the Editorial Board: 10.10.2025

We consider composition mappings, or chains, on two-step Carnot groups, and derive properties of mappings providing Lipschitz property of the resulting composition. In particular, we describe some examples, and consider an important case when one of the mappings is a projection.

УДК 517.518

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Keywords: Lipschitz mapping, intrinsic metric, composition mapping, two-step Carnot group.

References: Maria B. Karmanova On Lipschitz Property of Mappings' Compositions on Two-Step Carnot Groups. Mat. Trudy. 2025, 28, №4. P. 79–104. DOI: 10.25205/1560-750X-2025-28-4-79-104