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MiS Preprint
61/2003

Schouten Tensor Equations in Conformal Geometry with Prescribed Boundary Metric

Oliver Schnürer

Abstract

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:
Jul 11, 2003
Published:
Jul 11, 2003
MSC Codes:
53A30, 35J25, 58J32
Keywords:
schouten tensor, fully nonlinear equation, conformal geometry, dirichlet boundary value problem