Universität zu Köln

Lytchak, Alexander and Stadler, Stephan (2020). IMPROVEMENTS OF UPPER CURVATURE BOUNDS. Trans. Am. Math. Soc., 373 (10). S. 7153 - 7167. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6850

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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
Creators:	Creators Email ORCID ORCID Put Code Lytchak, Alexander UNSPECIFIED UNSPECIFIED UNSPECIFIED Stadler, Stephan UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-316887
DOI:	10.1090/tran/8123
Journal or Publication Title:	Trans. Am. Math. Soc.
Volume:	373
Number:	10
Page Range:	S. 7153 - 7167
Date:	2020
Publisher:	AMER MATHEMATICAL SOC
Place of Publication:	PROVIDENCE
ISSN:	1088-6850
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language GRADIENT FLOWS; HARMONIC MAPS; RIEMANNIAN POLYHEDRA; CONVEX-FUNCTIONS; LOCAL-STRUCTURE; SPACES Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/31688