Second variation of sub-Riemannian surface measure of non-horizontal submanifolds in sub-Riemannian stratified Lie groups

DOI10.1007/s10883-022-09606-0zbMath1526.53028OpenAlexW4295540511WikidataQ115383619 ScholiaQ115383619MaRDI QIDQ6078373

Jose Miguel Martins Veloso, Maria R. B. Santos

Publication date: 24 October 2023

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-022-09606-0

zbMATH Keywords

stratified Lie groupsstable minimal surfacesnon-horizontal submanifoldssub-Riemannian measure

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Sub-Riemannian geometry (53C17)

Cites Work

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• On the Hausdorff volume in sub-Riemannian geometry
• Hypersurfaces and variational formulas in sub-Riemannian Carnot groups
• Area-stationary surfaces in the Heisenberg group \(\mathbb H^1\)
• The classification of complete stable area-stationary surfaces in the Heisenberg group
• Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group \(\mathbb H^1\)
• Minimal surfaces in the Heisenberg group
• First and second variation formulae for the sub-Riemannian area in three-dimensional pseudo-Hermitian manifolds
• The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group
• Stable \(H\)-minimal hypersurfaces
• Sub-Riemannian calculus on hypersurfaces in Carnot groups
• First variation of the Hausdorff measure of non-horizontal submanifolds in sub-Riemannian stratified Lie groups
• An intrinsic measure for submanifolds in stratified groups
• Minimal Submanifolds and Related Topics
• Large scale detection of half-flats in CAT(0)-spaces