2013/06/13 by Alexandru Kristály, Dušan Repovš
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Curvature #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Mathematical analysis #Mathematics #Metric (unit) #Minkowski space #Projection (relational algebra) #Pure mathematics #Riemann curvature tensor #Scalar curvature #Sectional curvature #math.DG #msc:53C23 #msc:53C24
paper · pdf · doi:10.1016/j.difgeo.2013.06.002
published as Differential Geometry and its Applications 31:5 (2013), 602-610
openalex publication_date 2013/06/13 · arxiv created 2016/02/12 · arxiv updated 2016/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.