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- Title
Examples of area-minimizing surfaces in the sub-Riemannian Heisenberg group $${\mathbb{H}^1}$$ with low regularity.
- Authors
Ritoré, Manuel
- Abstract
We give new examples of entire area-minimizing t-graphs in the sub-Riemannian Heisenberg group $${\mathbb{H}^1}$$ . They are locally Lipschitz in Euclidean sense. Some regular examples have prescribed singular set consisting of either a horizontal line or a finite number of horizontal halflines extending from a given point. Amongst them, a large family of area-minimizing cones is obtained.
- Subjects
EUCLIDEAN algorithm; LIPSCHITZ spaces; FUNCTION spaces; MODULES (Algebra); ALGEBRAIC surfaces
- Publication
Calculus of Variations & Partial Differential Equations, 2009, Vol 34, Issue 2, p179
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-008-0181-6