INVESTIGADORES
LAURET Emilio Agustin
artículos
Título:
Spectral uniqueness of bi-invariant metrics on symplectic groups
Autor/es:
LAURET, EMILIO A.
Revista:
TRANSFORMATION GROUPS
Editorial:
BIRKHAUSER BOSTON INC
Referencias:
Año: 2019 vol. 24 p. 1157 - 1164
ISSN:
1083-4362
Resumen:
In this short note, we prove that a bi-invariant Riemannian metric on Sp(n) is uniquely determined by the spectrum of its Laplace-Beltrami operator within the class of left-invariant metrics on Sp(n). In other words, on any of these compact simple Lie groups, every left-invariant metric which is not right-invariant cannot be isospectral to a bi-invariant metric. The proof is elementary and uses a very strong spectral obstruction proved by Gordon, Schueth, and Sutton.
