IMPROVEMENTS OF UPPER CURVATURE BOUNDS

Lytchak, Alexander und Stadler, Stephan (2020): IMPROVEMENTS OF UPPER CURVATURE BOUNDS. In: Transactions of the American Mathematical Society, Bd. 373, Nr. 10: S. 7153-7166

Abstract

We prove that upper curvature bounds in the sense of Alexandrov can be improved locally by using appropriate conformal changes. As a new technical tool we derive a generalization to metric spaces and semi-convex functions of the classical differential geometric property that compositions of harmonic maps with convex functions are subharmonic.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0002-9947
• Sprache: Englisch