Curvature flows on four manifolds with boundary
| dc.creator | Ndiaye, Cheikh Birahim | |
| dc.date | 2007-08-15 | |
| dc.date.accessioned | 2026-07-07T08:23:45Z | |
| dc.date.available | 2026-07-07T08:23:45Z | |
| dc.description | Given a compact four dimensional smooth Riemannian manifold $(M,g)$ with smooth boundary, we consider the evolution equation by $Q$-curvature in the interior keeping the $T$-curvature and the mean curvature to be zero and the evolution equation by $T$-curvature at the boundary with the condition that the $Q$-curvature and the mean curvature vanish. Using integral method, we prove global existence and convergence for the $Q$-curvature flow (resp $T$-curvature flow) to smooth metric of prescribed $Q$-curvature (resp $T$-curvature) under conformally invariant assumptions. | |
| dc.identifier | https://arxiv.org/abs/0708.2029 | |
| dc.identifier | http://arxiv.org/abs/0708.2029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136109 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 35B33, 53A30 | |
| dc.title | Curvature flows on four manifolds with boundary | |
| dc.type | text |