Ontology type: schema:ScholarlyArticle Open Access: True
2016-10
AUTHORSEnrico Le Donne, Gareth Speight
ABSTRACTA Carnot group G admits Lusin approximation for horizontal curves if for any absolutely continuous horizontal curve γ in G and ε>0, there is a C1 horizontal curve Γ such that Γ=γ and Γ′=γ′ outside a set of measure at most ε. We verify this property for free Carnot groups of step 2 and show that it is preserved by images of Lie group homomorphisms preserving the horizontal layer. Consequently, all step 2 Carnot groups admit Lusin approximation for horizontal curves. More... »
PAGES111
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