Minimal graph-surfaces on arbitrary two-step Carnot groups

DOI10.3103/S1066369X19050025zbMath1454.49039OpenAlexW2958459057MaRDI QIDQ2281432

M. B. Karmanova

Publication date: 19 December 2019

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19050025

zbMATH Keywords

minimal surfacemean curvaturetwo-step Carnot groupgraph-mapping

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05)

Related Items (4)

Classes of maximal surfaces on Carnot groups ⋮ Unnamed Item ⋮ Maximal Surfaces on Two-Step Sub-Lorentzian Structures ⋮ Properties of minimal surfaces over depth 2 Carnot manifolds

Cites Work

• Unnamed Item
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Maximal surfaces on five-dimensional group structures
• Area formulas for classes of Hölder continuous mappings of Carnot groups
• Graphs of Lipschitz functions and minimal surfaces on Carnot groups
• The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups
• Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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