An obstruction for the mean curvature of a conformal immersion S^{n}-> R^{n+1}
| dc.creator | Ammann, Bernd | |
| dc.creator | Humbert, Emmanuel | |
| dc.creator | Ahmedou, Mohameden Ould | |
| dc.date | 2005-06-28 | |
| dc.date.accessioned | 2026-07-07T09:22:49Z | |
| dc.date.available | 2026-07-07T09:22:49Z | |
| dc.description | We prove a Pohozaev type identity for non-linear eigenvalue equations of the Dirac operator on Riemannian spin manifolds with boundary. As an application, we obtain that the mean curvature H of a conformal immersion S^{n}-> R^{n+1} satisfies $\int \partial_X H=0$ where X is a conformal vector field on S^{n} and where the integration is carried out with respect to the Euclidean volume measure of the image.<BR> This identity is analogous to the Kazdan-Warner obstruction that appears in the problem of prescribing the scalar curvature on S^{n} inside the standard conformal class. | |
| dc.identifier | https://arxiv.org/abs/math/0506568 | |
| dc.identifier | http://arxiv.org/abs/math/0506568 | |
| dc.identifier | Proc. AMS. 135, 489-493 (2007) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155511 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A27, 53A30, 35J60 | |
| dc.title | An obstruction for the mean curvature of a conformal immersion S^{n}-> R^{n+1} | |
| dc.type | text |