Focal points and support functions in affine differential geometry

DOI10.1007/BF01267871zbMath0814.53010OpenAlexW1975526834MaRDI QIDQ1336203

Thomas E. Cecil

Publication date: 18 October 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01267871

zbMATH Keywords

critical pointellipsoidfocal pointaffine support functionaffine sphere

Mathematics Subject Classification ID

Global submanifolds (53C40) Affine differential geometry (53A15)

Related Items (6)

Affine normal curvature of hypersurfaces from the point of view of singularity theory ⋮ Affine geometry of equal-volume polygons in 3-space ⋮ Affine hypersurfaces with self congruent center map ⋮ Singularities of 3-parameter line congruences in ⋮ Affine metric for locally strictly convex manifolds of codimension 2 ⋮ Affine focal points for locally strictly convex surfaces in 4-space

Cites Work

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• On completeness in affine differential geometry
• Zur affinen Differentialgeometrie im Großen. I
• Über die Finsler-Räume mit \(A_i=0\)
• On the Total Curvature of Immersed Manifolds
• Tight and Taut Immersions
• Umbilical Submanifolds and Morse Functions

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