Examples of area-minimizing surfaces in the subriemannian Heisenberg group H^1 with low regularity

Details Examples of area-minimizing surfaces in the subriemannian Heisenberg group H^1 with low regularity Examples of area-minimizing surfaces in the subriemannian Heisenberg group H^1 with low regularity

2008-03-10

arxiv.org/abs/0803.1314v1

Mathematics

Differential Geometry

14 pages, 1 figure

Scientific paper

We give new examples of entire area-minimizing t-graphs in the subriemannian
Heisenberg group H^1. Most of the examples 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.

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