Weyl structures with positive Ricci tensor
| dc.creator | Alexandrov, Bogdan | |
| dc.creator | Ivanov, Stefan | |
| dc.date | 1999-02-04 | |
| dc.date | 2003-01-09 | |
| dc.date.accessioned | 2026-07-07T05:27:47Z | |
| dc.date.available | 2026-07-07T05:27:47Z | |
| dc.description | We prove the vanishing of the first Betti number on compact manifolds admitting a Weyl structure whose Ricci tensor satisfies certain positivity conditions, thus obtaining a Bochner-type vanishing theorem in Weyl geometry. We also study compact Hermitian-Weyl manifolds with non-negative symmetric part of the Ricci tensor of the canonical Weyl connection and show that every such manifold has first Betti number $b_1 =1$ and Hodge numbers $h^{p,0} =0$ for $p>0$, $h^{0,1} =1$, $h^{0,q} =0$ for $q>1$. | |
| dc.description | 8 pages, Latex format, no figures; added section; to appear in Diff. Geom. Appl | |
| dc.identifier | https://arxiv.org/abs/math/9902033 | |
| dc.identifier | http://arxiv.org/abs/math/9902033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78057 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C55, 53C15 | |
| dc.title | Weyl structures with positive Ricci tensor | |
| dc.type | text |