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Schouten Tensor Equations in Conformal Geometry with Prescribed Boundary Metric
Oliver SchnürerAbstract
On a manifold with boundary, we deform the metric conformally. This induces a deformation of the Schouten tensor. We fix the metric at the boundary and realize a prescribed value for the product of the eigenvalues of the Schouten tensor in the interior, provided that there exists a subsolution.
- Received:
- 11.07.03
- Published:
- 11.07.03
- MSC Codes:
- 53A30, 35J25, 58J32
- Keywords:
- schouten tensor, fully nonlinear equation, conformal geometry, dirichlet boundary value problem