TY - JOUR
T1 - Proper r-harmonic functions from Riemannian manifolds
AU - Gudmundsson, Sigmundur
AU - Sobak, Marko
PY - 2020
Y1 - 2020
N2 - We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SLn(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO∗(2 n) and SU∗(2 n).
AB - We introduce a new method for constructing complex-valued r-harmonic functions on Riemannian manifolds. We then apply this for the important semisimple Lie groups SO(n) , SU(n) , Sp(n) , SLn(R) , Sp(n, R) , SU(p, q) , SO(p, q) , Sp(p, q) , SO∗(2 n) and SU∗(2 n).
KW - Biharmonic functions
KW - p-harmonic functions
KW - Semisimple Lie groups
U2 - 10.1007/s10455-019-09696-3
DO - 10.1007/s10455-019-09696-3
M3 - Article
AN - SCOPUS:85076621377
VL - 57
SP - 217
EP - 223
JO - Annals of Global Analysis and Geometry
JF - Annals of Global Analysis and Geometry
SN - 1572-9060
ER -