| dc.creator | Lauret, Emilio Agustin | |
| dc.date.accessioned | 2020-03-20T13:45:47Z | |
| dc.date.accessioned | 2022-10-15T05:22:18Z | |
| dc.date.available | 2020-03-20T13:45:47Z | |
| dc.date.available | 2022-10-15T05:22:18Z | |
| dc.date.created | 2020-03-20T13:45:47Z | |
| dc.date.issued | 2019-12 | |
| dc.identifier | Lauret, Emilio Agustin; Spectral uniqueness of bi-invariant metrics on symplectic groups; Birkhauser Boston Inc; Transformation Groups; 24; 4; 12-2019; 1157-1164 | |
| dc.identifier | 1083-4362 | |
| dc.identifier | http://hdl.handle.net/11336/100377 | |
| dc.identifier | CONICET Digital | |
| dc.identifier | CONICET | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4349272 | |
| dc.description.abstract | 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. | |
| dc.language | eng | |
| dc.publisher | Birkhauser Boston Inc | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s00031-018-9486-5 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00031-018-9486-5 | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.rights | info:eu-repo/semantics/restrictedAccess | |
| dc.subject | isospectrality | |
| dc.subject | left-invariant metric | |
| dc.subject | bi-invariant metric | |
| dc.title | Spectral uniqueness of bi-invariant metrics on symplectic groups | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:ar-repo/semantics/artículo | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
