TY - JOUR
AU1 - Petrecca, David
AU2 - Röser, Markus
AB - For a compact homogeneous space G / K, we study the problem of existence of G-invariant Riemannian metrics such that each eigenspace of the Laplacian is a real irreducible representation of G. We prove that the normal metric of a compact irreducible symmetric space has this property only in rank one. Furthermore, we provide existence results for such metrics on certain isotropy reducible spaces.
TI - Irreducibility of the Laplacian eigenspaces of some homogeneous spaces
JF - Mathematische Zeitschrift
DO - 10.1007/s00209-018-2088-z
DA - 2018-05-31
UR - https://www.deepdyve.com/lp/springer-journals/irreducibility-of-the-laplacian-eigenspaces-of-some-homogeneous-spaces-7pQBW4g1pk
SP - 395
EP - 419
VL - 291
IS - 2
DP - DeepDyve
ER -