Metric projections versus non-positive curvature

Alexandru Kristály, Dušan Repovš

Research output: Contribution to journalArticle

1 Citation (Scopus)


In this paper two metric properties on geodesic length spaces are introduced by means of the metric projection, studying their validity on Alexandrov and Busemann NPC spaces. In particular, we prove that both properties characterize the non-positivity of the sectional curvature on Riemannian manifolds. Further results are also established on reversible/non-reversible Finsler-Minkowski spaces.

Original languageEnglish
Pages (from-to)602-610
Number of pages9
JournalDifferential Geometry and its Application
Issue number5
Publication statusPublished - Oct 1 2013


  • Alexandrov NPC space
  • Busemann NPC space
  • Curvature
  • Metric projection
  • Minkowski space

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Computational Theory and Mathematics

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