Constant T-curvature conformal metrics on 4-manifolds with boundary
| dc.creator | Ndiaye, Cheikh Birahim | |
| dc.date | 2007-08-06 | |
| dc.date.accessioned | 2026-07-07T08:22:19Z | |
| dc.date.available | 2026-07-07T08:22:19Z | |
| dc.description | In this paper we prove that, given a compact four dimensional smooth Riemannian manifold (M,g) with smooth boundary there exists a metric conformal to g with constant T-curvature, zero Q-curvature and zero mean curvature under generic and conformally invariant assumptions. The problem amounts to solving a fourth order nonlinear elliptic boundary value problem (BVP) with boundary conditions given by a third-order pseudodifferential operator, and homogeneous Neumann one. It has a variational structure, but since the corresponding Euler-Lagrange functional is in general unbounded from below, we look for saddle points. In order to do this, we use topological arguments and min-max methods combined with a compactness result for the corresponding BVP. | |
| dc.identifier | https://arxiv.org/abs/0708.0732 | |
| dc.identifier | http://arxiv.org/abs/0708.0732 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135614 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 35B33, 35J35 | |
| dc.title | Constant T-curvature conformal metrics on 4-manifolds with boundary | |
| dc.type | text |