Spaces with bounded curvature and distance geometry

DOI10.1007/BF00969337zbMath0612.53047OpenAlexW2032773518MaRDI QIDQ1088174

Valeriĭ Nikolaevich Berestovskiĭ

Publication date: 1986

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969337

zbMATH Keywords

sectional curvaturesshortest arcsspaces of bounded curvature

Mathematics Subject Classification ID

General theory of distance geometry (51K05) Local differential geometry (53B99) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (8)

The tangent cone of an Aleksandrov space of curvature \(\leq K\) ⋮ Characterization of Aleksandrov spaces of curvature bounded above by means of the metric Cauchy-Schwarz inequality ⋮ Spaces of Wald curvature bounded below ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ Metric Curvatures Revisited: A Brief Overview ⋮ The Poincaré Conjecture and Related Statements ⋮ Metric Ricci Curvature and Flow for PL Manifolds ⋮ Homogeneous spaces of curvature bounded below

Cites Work

• On curvature of a metric space at a point
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