\(K\)-Euler's inequality in Aleksandrov's \(\mathrm{CAT}(K)\) space

DOI10.1007/s00022-017-0381-3zbMath1390.53021OpenAlexW2609380805MaRDI QIDQ1685527

Igor G. Nikolaev, I. David Berg

Publication date: 14 December 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-017-0381-3

zbMATH Keywords

\(\mathrm{CAT}(K)\) space\(K\)-Euler inequalityEnflo's \(p\)-roundness condition

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Synthetic differential geometry (51K10)

Related Items (1)

Characterization of Aleksandrov spaces of curvature bounded above by means of the metric Cauchy-Schwarz inequality

Cites Work

• An alternative proof of Berg and Nikolaev's characterization of \(CAT(0)\)-spaces via quadrilateral inequality
• Quasilinearization and curvature of Aleksandrov spaces
• Roundness properties of groups.
• On the nonexistence of uniform homeomorphisms between \(L^ p\)-spaces
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