Some Sharp L^2 Inequalities for Dirac Type Operators
| dc.creator | Balinsky, Alexander | |
| dc.creator | Ryan, John | |
| dc.date | 2007-11-25 | |
| dc.date.accessioned | 2026-07-07T09:34:49Z | |
| dc.date.available | 2026-07-07T09:34:49Z | |
| dc.description | We use the spectra of Dirac type operators on the sphere $S^{n}$ to produce sharp $L^{2}$ inequalities on the sphere. These operators include the Dirac operator on $S^{n}$, the conformal Laplacian and Paenitz operator. We use the Cayley transform, or stereographic projection, to obtain similar inequalities for powers of the Dirac operator and their inverses in $\mathbb{R}^{n}$. | |
| dc.description | This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0711.3905 | |
| dc.identifier | http://arxiv.org/abs/0711.3905 | |
| dc.identifier | SIGMA 3 (2007), 114, 10 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159629 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.title | Some Sharp L^2 Inequalities for Dirac Type Operators | |
| dc.type | text |