Proper r-harmonic functions from Riemannian manifolds

2019/10/14 by Gudmundsson, Sigmundur, Sobak, Marko
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.06166

Abstract

We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this method for the important semisimple Lie groups SO(n), SU(n), Sp(n), SL_n(R), Sp(R,n), SU(p,q), SO(p,q), Sp(p,q), SO^*(2n) and SU^*(2n).

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