The Length of a Curve in a Space of Curvature K

DOI10.2307/2043249zbMath0434.53037OpenAlexW4242503792MaRDI QIDQ3873138

Boris V. Dekster

Publication date: 1980

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2043249

zbMATH Keywords

Riemannian manifoldlength of a curvesectional curvaturestotal curvaturelongest curve

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Comparison theorems for curves of bounded geodesic curvature in metric spaces of curvature bounded above ⋮ Total curvature and simple pursuit on domains of curvature bounded above ⋮ Boundary sketching with asymptotically optimal distance and rotation

This page was built for publication: The Length of a Curve in a Space of Curvature K