Upper estimates of the length of a curve in a Riemannian manifold with boundary

DOI10.4310/jdg/1214434965zbMath0427.53023OpenAlexW1532973653WikidataQ115189156 ScholiaQ115189156MaRDI QIDQ1136369

Boris V. Dekster

Publication date: 1979

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

Full work available at URL: https://doi.org/10.4310/jdg/1214434965

zbMATH Keywords

convexityRiemannian manifoldlength of a curvesectional curvaturetotal curvature

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Inequalities of Gauss-Bonnet Type for a Convex Domain ⋮ Total curvature and length estimate for curves in CAT(\(K\)) spaces. ⋮ Global Behavior of Curves in a Space of Positive Curvature ⋮ The total intrinsic curvature of curves in Riemannian surfaces

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