A prescribed scalar and boundary mean curvature problem on compact manifolds with boundary
Published in ArXiv, 2021
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.
Recommended citation: Sicca, V., Xia, T., Fédérico, M., Gorinski, P.J., Frieder, S., & Jui, S. (2024). Newclid: A User-Friendly Replacement for AlphaGeometry. ArXiv, abs/2411.11938.
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