The graphs of Lipschitz functions and minimal surfaces on Carnot groups
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Publication:1760542
DOI10.1134/S0037446612040106zbMath1262.53029WikidataQ125388897 ScholiaQ125388897MaRDI QIDQ1760542
Publication date: 14 November 2012
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
minimal surfacesgraphsarea formulaCarnot groupsRademacher's theoremintrinsic measuresub-Riemannian area
Minimal surfaces and optimization (49Q05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Sub-Riemannian geometry (53C17) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items (26)
Hölder mappings of Carnot groups and intrinsic bases ⋮ Graph surfaces on five-dimensional sub-Lorentzian structures ⋮ The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups ⋮ Three-dimensional graph surfaces on five-dimensional Carnot-Carathéodory spaces ⋮ Area formula for graph surfaces on five-dimensional sub-Lorentzian structures ⋮ Variations of nonholonomic-valued mappings and their applications to maximal surface theory ⋮ Graph surfaces of codimension two over three-dimensional Carnot-Carathéodory spaces ⋮ Metric properties of classes of Hölder surfaces on Carnot groups ⋮ Approximation of Hölder mappings on Carnot-Carathéodory spaces ⋮ Maximal surfaces on five-dimensional group structures ⋮ Graph surfaces over three-dimensional Carnot-Carathéodory spaces ⋮ The area of graph surfaces on four-dimensional two-step sub-Lorentzian structures ⋮ Area formulas for classes of Hölder continuous mappings of Carnot groups ⋮ Two-step sub-Lorentzian structures and graph surfaces ⋮ Classes of maximal surfaces on Carnot groups ⋮ The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure ⋮ Unnamed Item ⋮ Polynomial sub-Riemannian differentiability on Carnot-Carathéodory spaces ⋮ Maximal Surfaces on Two-Step Sub-Lorentzian Structures ⋮ Polynomial sub-Riemannian differentiability on Carnot groups ⋮ Maximal graph surfaces on four-dimensional two-step sub-Lorentzian structures ⋮ On the class of Hölder surfaces in Carnot-Carathéodory spaces ⋮ The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures ⋮ Properties of minimal surfaces over depth 2 Carnot manifolds ⋮ Area of graph surfaces on Carnot groups with sub-Lorentzian structure ⋮ Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure
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