Sufficient maximality conditions for surfaces on two-step sub-Lorentzian structures

DOI10.1134/S1064562419020340zbMath1505.53044OpenAlexW2949663071WikidataQ125995890 ScholiaQ125995890MaRDI QIDQ2313265

M. B. Karmanova

Publication date: 18 July 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562419020340

zbMATH Keywords

maximal surfaceCarnot-Carathéodory spacesnon-holonomic structuresub-Lorentzian norm

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Sub-Riemannian geometry (53C17)

Related Items (3)

Classes of maximal surfaces on Carnot groups ⋮ The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure ⋮ Maximal Surfaces on Two-Step Sub-Lorentzian Structures

Cites Work

• Class of maximal graph surfaces on multidimensional two-step sub-Lorentzian structures
• 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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