On Minty's theorem in the Heisenberg group

2013/10/09 by Andrea Calogero, Calogero, Andrea, Rita Pini +1
Mathematics · #53C17 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 26B25 Secondary: 47H05 #math.CA #math.FA #msc:26B25 #msc:47H05 #msc:53C17

paper · pdf · doi:10.48550/arxiv.1310.2397

arxiv created 2013/10/09 · arxiv updated 2013/10/10

Abstract

In this paper we extend some classical results of Convex Analysis to the sub-Riemannian setting of the Heisenberg group. In particular, we provide a horizontal version of Minty's theorem concerning maximal H-monotone operators defined in the Heisenberg group with values in the first layer of its Lie algebra.

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