On Lipschitz Continuous Compositions of Mappings on Two-Step Carnot Groups
Abstract
Abstract 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.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Analytic and geometric function theory
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Siberian Advances in Mathematics
- Publisher
- Pleiades Publishing Ltd
- Volume
- 36
- Issue
- 1
- Pages
- 43–58
- Publication date
- 1 February 2026
- Language
- EN