An affine invariant characterization of flat gravity curves

DOI10.1007/S12188-009-0021-4zbMath1179.53009OpenAlexW2047705570MaRDI QIDQ1034940

Thomas Binder

Publication date: 9 November 2009

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-009-0021-4

zbMATH Keywords

center of gravityaffine normalgravity curve

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Affine differential geometry (53A15)

Cites Work

• Uniqueness theorems in affine differential geometry. II
• Über eine geometrische Deutung des Affinnormalenvektors einseitig gekrümmter Hyperflächen. (On a geometric interpretation of the affine normal vector of unilaterally curved hypersurfaces)
• On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces
• A new model of unimodular-affinely homogeneous surfaces
• On certain quartic forms for affine surfaces
• Affine spheres with constant affine sectional curvature
• Global affine differential geometry of hypersurfaces
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