IMPROVEMENTS OF UPPER CURVATURE BOUNDS

被引：7
|
作者：
Lytchak, Alexander [1 ]
Stadler, Stephan [2 ]
机构：
[1] Univ Cologne, Mathemat Inst, Weyertal 86-90, D-50931 Cologne, Germany
[2] Univ Munich, Mathemat Inst, Theresienstr 39, D-80333 Munich, Germany
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 10期
关键词：
Non-positive curvature; conformal change; minimal disc; harmonic maps; GRADIENT FLOWS; HARMONIC MAPS; RIEMANNIAN POLYHEDRA; CONVEX-FUNCTIONS; LOCAL-STRUCTURE; SPACES;
D O I：
10.1090/tran/8123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：7153 / 7166
页数：14
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