Schouten tensor equations in conformal geometry with prescribed boundary metric

Oliver C. Schnuerer

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Schouten tensor equations in conformal geometry with prescribed boundary metric

Oliver C. Schnuerer

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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.

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BibTeX RIS

Oliver C. Schnuerer. 2003-07-17. Schouten tensor equations in conformal geometry with prescribed boundary metric. https://arxiv.org/abs/math/0307247

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