Open AccessGeodesic interpolation inequalities on Heisenberg groups
Author(s) -
Zoltán M. Balogh,
Alexandru Kristály,
Kinga Sipos
Publication year - 2016
Publication title -
comptes rendus mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 68
eISSN - 1778-3569
pISSN - 1631-073X
DOI - 10.1016/j.crma.2016.07.001
Subject(s) - mathematics , geodesic , heisenberg group , minkowski space , pure mathematics , mathematical analysis , mathematical physics
In this Note, we present geodesic versions of the Borell–Brascamp–Lieb, Brunn–Minkowski and entropy inequalities on the Heisenberg group Hn. Our arguments use the Riemannian approximation of Hncombined with optimal mass-transportation techniques
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