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arXiv · 2102.11236

A prescribed scalar and boundary mean curvature problem on compact manifolds with boundary

Vladmir Sicca·Gantumur Tsogtgerel
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Abstract

We consider the problem of finding a metric in a given conformal class with prescribed nonpositive scalar curvature and nonpositive boundary mean curvature on a compact manifold with boundary, and establish a necessary and sufficient condition in terms of a conformal invariant that measures the zero set of the target curvatures.

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Vladmir Sicca, Gantumur Tsogtgerel. 2021-02-22. A prescribed scalar and boundary mean curvature problem on compact manifolds with boundary. https://arxiv.org/abs/2102.11236

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