The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups

DOI10.1134/S0037446617020069zbMath1375.53045OpenAlexW2609696592WikidataQ115248429 ScholiaQ115248429MaRDI QIDQ2360288

M. B. Karmanova

Publication date: 30 June 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617020069

zbMATH Keywords

Carnot grouppolynomial sub-Riemannian differentialHölder mappingintrinsic basisnilpotent graded group

Mathematics Subject Classification ID

Special properties of functions of several variables, Hölder conditions, etc. (26B35) Sub-Riemannian geometry (53C17)

Related Items (24)

Class of maximal graph surfaces on multidimensional two-step sub-Lorentzian structures ⋮ On local metric characteristics of level sets of \(C_H^1\)-mappings of Carnot manifolds ⋮ 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 ⋮ A metric characteristic of minimal surfaces on arbitrary Carnot groups ⋮ Polynomial sub-Riemannian differentiability on Carnot-Carathéodory spaces ⋮ Maximal Surfaces on Two-Step Sub-Lorentzian Structures ⋮ Metric properties of graphs on Carnot-Carathéodory spaces with sub-Lorentzian structure ⋮ Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure ⋮ Space-likeness of classes of level surfaces on Carnot groups and their metric properties ⋮ Graphs of Lipschitz mappings on two-step sub-Lorentzian structures with multidimensional time ⋮ Metric properties of level surfaces of Hölder mappings defined on two-step Carnot groups ⋮ Minimal graph-surfaces on arbitrary two-step Carnot groups ⋮ On the class of Hölder surfaces in Carnot-Carathéodory spaces ⋮ Properties of minimal surfaces over depth 2 Carnot manifolds ⋮ Area of graph surfaces on Carnot groups with sub-Lorentzian structure ⋮ On minimal surfaces on two-step Carnot groups ⋮ Sufficient maximality conditions for surfaces on two-step sub-Lorentzian structures ⋮ Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation ⋮ Graphs of nonsmooth contact mappings on Carnot groups with sub-Lorentzian structure ⋮ On the approximability and parametrization of preimages of elements of Carnot groups on sub-Lorentzian structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure
• Graph surfaces of codimension two over three-dimensional Carnot-Carathéodory spaces
• Nonholonomic black ring and solitonic solutions in Finsler and extra dimension gravity theories
• On the differentiability of mappings of Carnot-Carathéodory spaces
• Graph surfaces over three-dimensional Carnot-Carathéodory spaces
• The symplectic structure of the primary visual cortex
• Path dependent volatility
• Minimal surfaces in the roto-translation group with applications to a neuro-biological image completion model
• Quasiconformal mappings on the Heisenberg group
• The visual cortex is a contact bundle
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Rigidity of integral curves of rank 2 distributions
• Theory of chattering control with applications to astronautics, robotics, economics, and engineering
• The graphs of Lipschitz functions and minimal surfaces on Carnot groups
• Optimal problems on Hölder function spaces
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• Control theory from the geometric viewpoint.
• A nonholonomic Moser theorem and optimal transport
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• A STOCHASTIC GOLDEN RULE AND QUANTUM LANGEVIN EQUATION FOR THE LOW DENSITY LIMIT
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Complete Models with Stochastic Volatility
• Contact and quasiconformal mappings on real model filiform groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• CONTROLLABILITY OF NONHOLONOMIC BLACK HOLES SYSTEMS
• Optimal Transport

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