The Erdös-Mordell inequality is equivalent to non-positive curvature

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We prove that, in plane absolute geometry, the Erdos-Mordell inequality is equivalent to the statement that the sum of the angles of a triangle is less than or equal to two right angles.

Original languageEnglish (US)
Pages (from-to)134-139
Number of pages6
JournalJournal of Geometry
Volume88
Issue number1-2
DOIs
StatePublished - Mar 1 2008

Keywords

  • Erdös-Mordell inequality
  • Hyperbolic geometry
  • Toponogov's theorem

ASJC Scopus subject areas

  • Geometry and Topology

Fingerprint Dive into the research topics of 'The Erdös-Mordell inequality is equivalent to non-positive curvature'. Together they form a unique fingerprint.

  • Cite this