Parabolic nilradicals of Heisenberg type, II

2017/08/29 by Kaplan, Aroldo, Subils, Mauro
#22E46 #58A30 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.08981

Abstract

Every real simple non-compact Lie algebra not isomorphic to \mathfrakso(1,n) contains a unique standard parabolic subalgebra whose nilradical is a generalized Heisenberg algebra. Here we discuss the associated parabolic geometries and the riemannian geometry of the harmonic spaces having the former as conformal infinities.

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