Global inequalities for curves and surfaces in three-space

DOI10.1007/BF01765942zbMath0715.53003OpenAlexW2020310883MaRDI QIDQ752486

Riccardo Benedetti, Maria Dedō

Publication date: 1989

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01765942

zbMATH Keywords

curvesparabolic pointssurfacestotal absolute curvatureapparent contoursdepth of an inflection pointsimplicial curves and surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items (3)

On surfaces and their contours ⋮ Total curvature of curves in Riemannian manifolds ⋮ Projections of surfaces with a connected fold curve

Cites Work

• Quelques remarques sur les applications différentiables d'une surface dans le plan
• Total curvature for knotted surfaces
• Cusps of the projective Gauss map
• A geometric inequality for the total curvature of plane curves
• Geometrical class and degree for surfaces in three-space
• Stability of Gauss maps
• Generic projections
• Generic Geometry
• The duals of generic hypersurfaces.
• Global Geometry of Polygons. I: The Theorem of Fabricius-Bjerre
• A relation between the numbers of singular points and singular lines of a plane closed curve.
• On the Double Tangents of Plane Closed Curves.
• On total curvatures of closed space curves

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