Schouten tensor equations in conformal geometry with prescribed boundary metric

Details Schouten tensor equations in conformal geometry with prescribed boundary metric Schouten tensor equations in conformal geometry with prescribed boundary metric

2003-07-17

arxiv.org/abs/math/0307247v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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