On the smooth rigidity of almost-Einstein manifolds with nonnegative isotropic curvature
| dc.creator | Seshadri, Harish | |
| dc.date | 2009-04-05 | |
| dc.date.accessioned | 2026-07-07T13:00:41Z | |
| dc.date.available | 2026-07-07T13:00:41Z | |
| dc.description | Let $(M^n,g)$, $n \ge 4$, be a compact simply-connected Riemannian manifold with nonnegative isotropic curvature. Given $0<l\le L$, we prove that there exists $\eps = \eps (l,L,n)$ satisfying the following: If the scalar curvature $s$ of $g$ satisfies $$ l \le s \le L $$ and the Einstein tensor satisfies $$ | Ric - \frac {s}{n}g | \le \eps$$ then $M$ is diffeomorphic to a symmetric space of compact type. This is a smooth analogue of the result of S. Brendle that a compact Einstein manifold with nonnegative isotropic curvature is isometric to a locally symmetric space. | |
| dc.description | 5 Pages | |
| dc.identifier | https://arxiv.org/abs/0904.0752 | |
| dc.identifier | http://arxiv.org/abs/0904.0752 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225916 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C21 | |
| dc.title | On the smooth rigidity of almost-Einstein manifolds with nonnegative isotropic curvature | |
| dc.type | text |