Examples of area-minimizing surfaces in the subriemannian Heisenberg group H¹ with low regularity
classification
🧮 math.DG
math.MG
keywords
examplesarea-minimizinggroupheisenberghorizontalsubriemannianamongstcones
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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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