Surfaces with extreme value curvature in Alexandrov spaces

DOI10.2748/tmj/1178225455zbMath0847.53023OpenAlexW2017034521MaRDI QIDQ1908310

Chang-Wan Kim, Jin-Whan Yim

Publication date: 26 February 1996

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225455

zbMATH Keywords

ruled surfaceconstant curvatureexponential mapAlexandrov spacelocally isometricparallel line field

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Manifolds near the boundary of existence
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Collapsing and pinching under a lower curvature bound
• A generalized sphere theorem
• Isometry groups of singular spaces
• The Riemannian structure of Alexandrov spaces
• Geometric finiteness theorems via controlled topology
• Spaces on and beyond the boundary of existence
• Spaces of Wald curvature bounded below
• On the structure of complete manifolds of nonnegative curvature
• The Hadamard-Cartan theorem in locally convex metric spaces
• A.D. Alexandrov spaces with curvature bounded below
• On the Existence of Flat Planes in Spaces of Non-Positive Curvature
• The Conjugate Locus of a Riemannian Manifold

This page was built for publication: Surfaces with extreme value curvature in Alexandrov spaces