Scalar curvature estimates for compact symmetric spaces
| dc.creator | Goette, S. | |
| dc.creator | Semmelmann, U. | |
| dc.date | 2000-10-20 | |
| dc.date.accessioned | 2026-07-07T10:02:57Z | |
| dc.date.available | 2026-07-07T10:02:57Z | |
| dc.description | We establish extremality of Riemannian metrics g with non-negative curvature operator on symmetric spaces M=G/K of compact type with rk(G)-rk(K)\le 1. Let g' be another metric with scalar curvature k', such that g'\ge g on 2-vectors. We show that k'\ge k everywhere on M implies k'=k. Under an additional condition on the Ricci curvature of g, k'\ge k even implies g'=g. We also study area-non-increasing spin maps onto such Riemannian manifolds. | |
| dc.description | 13 pages, LaTeX, uses amsart | |
| dc.identifier | https://arxiv.org/abs/math/0010199 | |
| dc.identifier | http://arxiv.org/abs/math/0010199 | |
| dc.identifier | Diff. Geom. Appl. 16 (2002), 65-78 | |
| dc.identifier | doi:10.1016/S0926-2245(01)00068-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169153 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53c21 (primary), 53c35, 58j20 (secondary) | |
| dc.title | Scalar curvature estimates for compact symmetric spaces | |
| dc.type | text |