Positive scalar curvature and minimal hypersurfaces
| dc.creator | Seshadri, Harish | |
| dc.date | 2003-08-21 | |
| dc.date | 2008-01-01 | |
| dc.date.accessioned | 2026-07-07T08:51:45Z | |
| dc.date.available | 2026-07-07T08:51:45Z | |
| dc.description | We show that the minimal hypersurface method of Schoen and Yau can be used for the ``quantitative'' study of positive scalar curvature. More precisely, we show that if a manifold admits a metric $g$ with $s_g \ge | T |$ or $s_g \ge | W |$, where $s_g$ is the scalar curvature of of $g$, $T$ any 2-tensor on $M$ and $W$ the Weyl tensor of $g$, then any closed orientable stable minimal (totally geodesic in the second case) hypersurface also admits a metric with the corresponding positivity of scalar curvature. A corollary about the topology of such hypersurfaces is proved in a special situation. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0308203 | |
| dc.identifier | http://arxiv.org/abs/math/0308203 | |
| dc.identifier | Proc. of AMS, 133 (2005), 1497-1504 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145042 | |
| dc.subject | Differential Geometry | |
| dc.title | Positive scalar curvature and minimal hypersurfaces | |
| dc.type | text |