Stably embedded surfaces of bounded integral curvature

DOI10.1006/aima.1999.1887zbMath0972.53026OpenAlexW2056634542WikidataQ126178464 ScholiaQ126178464MaRDI QIDQ1578064

Joseph Howland Guthrie Fu

Publication date: 5 November 2001

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1999.1887

zbMATH Keywords

MBCcut locusbounded extrinsic curvaturebounded integral curvature

Mathematics Subject Classification ID

Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05)

Related Items (4)

Integral Geometric Regularity ⋮ Normal cycles of Lipschitz manifolds by approximation with parallel sets. ⋮ Normal cycles and curvature measures of sets with d.c. boundary ⋮ Algebraic Integral Geometry

Cites Work

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• Chord-arc surfaces with small constant. I
• A new proof of the compactness theorem for integral currents
• Tubular neighborhoods in Euclidean spaces
• Curvatures and currents for unions of sets with positive reach
• The length of a cut locus on a surface and Ambrose's problem
• Some analytical properties of geodesically convex sets
• On the curvatura integra in a Riemannian manifold
• Curvature Measures
• Bilipschitz rough normal coordinates for surfaces with an L^1 curvature bound
• Curvature Measures of Subanalytic Sets
• Geodesic Parallel Coordinates in the Large
• On the Total Curvature of C 1 Hypersurfaces in E n+1

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