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

Autor: Sicca, Vladmir, Tsogtgerel, Gantumur
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 23 pages
Databáze: arXiv