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A prescribed scalar and boundary mean curvature problem on compact manifolds with boundary
Published 22 Feb 2021 in math.DG and math.AP | (2102.11236v1)
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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