A prescribed scalar and boundary mean curvature problem on compact manifolds with boundary
Differential Geometry
2021-02-23 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2102.11236,
title = {A prescribed scalar and boundary mean curvature problem on compact manifolds with boundary},
author = {Vladmir Sicca and Gantumur Tsogtgerel},
journal= {arXiv preprint arXiv:2102.11236},
year = {2021}
}
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23 pages