The spectrum and isometric embeddings of surfaces of revolution
| dc.creator | Engman, Martin | |
| dc.date | 1999-10-07 | |
| dc.date | 1999-10-19 | |
| dc.date.accessioned | 2026-07-07T05:31:05Z | |
| dc.date.available | 2026-07-07T05:31:05Z | |
| dc.description | An upper bound on the first S^1 invariant eigenvalue of the Laplacian for invariant metrics on the 2-sphere is used to find obstructions to the existence of isometric embeddings of such metrics in (R^3,can). As a corollary we prove: If the first four distinct eigenvalues have even multiplicities then the surface of revolution cannot be isometrically embedded in (R^3,can). This leads to a generalization of a classical result in the theory of surfaces. | |
| dc.description | Latex, 11 pages New version contains a new reference and minor stylistic changes | |
| dc.identifier | https://arxiv.org/abs/math/9910038 | |
| dc.identifier | http://arxiv.org/abs/math/9910038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79215 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58G25, 58G30 (Primary) 35P15 (Secondary) | |
| dc.title | The spectrum and isometric embeddings of surfaces of revolution | |
| dc.type | text |