Geodetically convex sets in the Heisenberg group \(\mathbb{H}^n, n \geq 1\)

DOI10.1007/s11868-023-00581-zOpenAlexW4391718150MaRDI QIDQ6202030

Anoop Varghese, Jyotshana V. Prajapat

Publication date: 21 February 2024

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-023-00581-z

zbMATH Keywords

Heisenberg groupconvex hullgeodetic convexityhorizontal length

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Nilpotent and solvable Lie groups (22E25)

Cites Work

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• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Geodesics in the Heisenberg group
• Constant mean curvature surfaces in sub-Riemannian geometry
• Convex functions on the Heisenberg group
• Notion of convexity in Carnot groups

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