Measure contraction properties of Carnot groups
نویسندگان
چکیده
منابع مشابه
Measure contraction properties of Carnot groups
We prove that any corank 1 Carnot group of dimension k + 1 equipped with a left-invariant measure satisfies the MCP(K, N) if and only if K ≤ 0 and N ≥ k + 3. This generalizes the well known result by Juillet for the Heisenberg group Hk+1 to a larger class of structures, which admit non-trivial abnormal minimizing curves. The number k + 3 coincides with the geodesic dimension of the Carnot group...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2016
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-016-1002-y