Metric projections versus non-positive curvature

A. Kristály, Dušan Repovš

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume31
Issue number5
DOIs
Publication statusPublished - Oct 2013

Fingerprint

Metric Projection
Nonpositive Curvature
Finsler Space
Minkowski Space
Sectional Curvature
Geodesic
Riemannian Manifold
Metric

Keywords

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

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Analysis
  • Geometry and Topology

Cite this

Metric projections versus non-positive curvature. / Kristály, A.; Repovš, Dušan.

In: Differential Geometry and its Application, Vol. 31, No. 5, 10.2013, p. 602-610.

Research output: Contribution to journalArticle

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