A globalization for non-complete but geodesic spaces

DOI10.1007/s00208-015-1295-8zbMath1357.53090arXiv1208.3155OpenAlexW2108293004MaRDI QIDQ330851

Anton Petrunin

Publication date: 26 October 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3155

zbMATH Keywords

Alexandrov space\((1+3)\)-point comparisonlower curvature bound

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items

Warped products admitting a curvature bound, Affine functions on Alexandrov spaces, The curvature of orbit spaces, CD meets CAT, Ricci curvature in dimension 2, Optimal diameter estimate of three-dimensional Ricci limit spaces, The boundary conjecture for leaf spaces, A proof of Toponogov’s theorem in Alexandrov geometry, Gluing of multiple Alexandrov spaces

Cites Work

• Warped products admitting a curvature bound
• Parallel transportation for Alexandrov space with curvature bounded below
• The Hadamard-Cartan theorem in locally convex metric spaces
• A.D. Alexandrov spaces with curvature bounded below