Variations of nonholonomic-valued mappings and their applications to maximal surface theory

DOI10.1134/S106456241603011XzbMath1354.53047OpenAlexW2469162487MaRDI QIDQ334407

M. B. Karmanova

Publication date: 1 November 2016

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

Full work available at URL: https://doi.org/10.1134/s106456241603011x

zbMATH Keywords

Heisenberg groupsub-Lorentzian geometrygraph mappings

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 (6)

Three-dimensional graph surfaces on five-dimensional Carnot-Carathéodory spaces ⋮ Class of maximal graph surfaces on multidimensional two-step sub-Lorentzian structures ⋮ Two-step sub-Lorentzian structures and graph surfaces ⋮ The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure ⋮ Graphs of Lipschitz mappings on two-step sub-Lorentzian structures with multidimensional time ⋮ Polynomial sub-Riemannian differentiability on Carnot groups

Cites Work

• Unnamed Item
• Graph surfaces over three-dimensional Carnot-Carathéodory spaces
• Equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space
• The curvature tensor and the Einstein equations for a four-dimensional nonholonomic distribution
• The graphs of Lipschitz functions and minimal surfaces on Carnot groups
• The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures

This page was built for publication: Variations of nonholonomic-valued mappings and their applications to maximal surface theory