IMPROVEMENTS OF UPPER CURVATURE BOUNDS

Lytchak, Alexander; Stadler, Stephan (2020): IMPROVEMENTS OF UPPER CURVATURE BOUNDS. In: Transactions of the American Mathematical Society, Vol. 373, No. 10: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0002-9947
• Language: English