Scalar curvature rigidity of almost Hermitian spin manifolds which are asymptotically complex hyperbolic
| dc.creator | Listing, Mario | |
| dc.date | 2004-02-09 | |
| dc.date | 2004-04-26 | |
| dc.date.accessioned | 2026-07-07T05:05:17Z | |
| dc.date.available | 2026-07-07T05:05:17Z | |
| dc.description | This paper generalizes a rigidity result of complex hyperbolic spaces by M. Herzlich. We prove that an almost Hermitian spin manifold $(M,g)$ of real dimension $4n+2$ which is strongly asymptotic to $\hyp{\C}^{2n+1}$ and satisfies a certain scalar curvature bound must be isometric to the complex hyperbolic space. The fact that we do not assume $g$ to be Kähler reflects in the inequality for the scalar curvature. | |
| dc.description | 8 pages. submitted to Comm. Anal. Geom | |
| dc.identifier | https://arxiv.org/abs/math/0402142 | |
| dc.identifier | http://arxiv.org/abs/math/0402142 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70110 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C24;53C55 | |
| dc.title | Scalar curvature rigidity of almost Hermitian spin manifolds which are asymptotically complex hyperbolic | |
| dc.type | text |