Spin^c Structures and Scalar Curvature Estimates
| dc.creator | Goette, S. | |
| dc.creator | Semmelmann, U. | |
| dc.date | 1999-05-14 | |
| dc.date | 1999-05-15 | |
| dc.date.accessioned | 2026-07-07T10:02:57Z | |
| dc.date.available | 2026-07-07T10:02:57Z | |
| dc.description | In this note, we look at estimates for the scalar curvature k of a Riemannian manifold M which are related to spin^c Dirac operators: We show that one may not enlarge a Kaehler metric with positive Ricci curvature without making k smaller somewhere on M. We also give explicit upper bounds for min(k) for arbitrary Riemannian metrics on certain submanifolds of complex projective space. In certain cases, these estimates are sharp: we give examples where equality is obtained. | |
| dc.description | 19 pages, AmSTeX | |
| dc.identifier | https://arxiv.org/abs/math/9905089 | |
| dc.identifier | http://arxiv.org/abs/math/9905089 | |
| dc.identifier | Ann. Global Anal. Geom. 20, No. 4 (2001), 301-324 | |
| dc.identifier | doi:10.1023/A:1013035721335 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169157 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C21 (Primary) 58G10, 53C55 (Secondary) | |
| dc.title | Spin^c Structures and Scalar Curvature Estimates | |
| dc.type | text |