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 language | English |
|---|---|
| Pages (from-to) | 602-610 |
| Number of pages | 9 |
| Journal | Differential Geometry and its Application |
| Volume | 31 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Oct 1 2013 |
Keywords
- 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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Kristály, A., & Repovš, D. (2013). Metric projections versus non-positive curvature. Differential Geometry and its Application, 31(5), 602-610. https://doi.org/10.1016/j.difgeo.2013.06.002