Metric characterization of Berwald spaces of non-positive flag curvature

Alexandru Kristály, László Kozma

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We show the equivalence of the non-positivity of the flag curvature with the non-positive curvature properties of Busemann and Pedersen for (not necessarily reversible) Berwald manifolds. So an analytical property is characterized by synthetic concepts of non-positively curved metric spaces.

Original languageEnglish
Pages (from-to)1257-1270
Number of pages14
JournalJournal of Geometry and Physics
Volume56
Issue number8
DOIs
Publication statusPublished - Aug 2006

Fingerprint

Berwald Space
Flag Curvature
Nonpositive Curvature
curvature
metric space
Metric
Metric space
equivalence
Equivalence

Keywords

  • Berwald space
  • Convex capsules
  • Geodesic space
  • Non-positive flag curvature

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

Cite this

Metric characterization of Berwald spaces of non-positive flag curvature. / Kristály, Alexandru; Kozma, László.

In: Journal of Geometry and Physics, Vol. 56, No. 8, 08.2006, p. 1257-1270.

Research output: Contribution to journalArticle

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