Some remarks about parametrizations of intrinsic regular surfaces in the Heisenberg group
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Publication:845060
DOI10.5565/PUBLMAT_54110_09zbMath1188.53028MaRDI QIDQ845060
Francesco Bigolin, Davide Vittone
Publication date: 5 February 2010
Published in: Publicacions Matemàtiques (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.pm/1262962138
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Special maps on metric spaces (54E40) Sub-Riemannian geometry (53C17)
Related Items (7)
Intrinsic Lipschitz graphs within Carnot groups ⋮ On rectifiable measures in Carnot groups: representation ⋮ Sub-elliptic boundary value problems in flag domains ⋮ Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces ⋮ Differentiability of intrinsic Lipschitz functions within Heisenberg groups ⋮ Differentiability and approximate differentiability for intrinsic Lipschitz functions in Carnot groups and a Rademacher theorem ⋮ Lipschitz graphs and currents in Heisenberg groups
Cites Work
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- Intrinsic regular hypersurfaces in Heisenberg groups
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Regular submanifolds, graphs and area formula in Heisenberg groups
- Rectifiable sets in metric and Banach spaces
- Characterizations of intrinsic rectifiability in Heisenberg groups
- Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs
- IMPLICIT FUNCTION THEOREM IN CARNOT–CARATHÉODORY SPACES
- Size of characteristic sets and functions with prescribed gradient
- A notion of rectifiability modeled on Carnot groups
- Rectifiability and perimeter in the Heisenberg group
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