On the average curvature of a convex curve in a surface of nonpositive Gaussian curvature

DOI10.1090/S0002-9939-02-06511-5zbMath1022.53004WikidataQ126093513 ScholiaQ126093513MaRDI QIDQ4547044

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Publication date: 20 August 2002

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

zbMATH Keywords

Riemannian metriccurvegeodesicaverage curvatureinfinite lengthnonpositive Gaussian curvature

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04)

Cites Work

• Average curvature of convex curves in 𝐻²
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