Equiaffine immersions of general codimension and its transversal volume element map

DOI10.1007/BF03322690zbMath1018.53008MaRDI QIDQ5943574

Konji Takekuma, Naoyuki Koike

Publication date: 27 September 2001

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

zbMATH Keywords

equiaffine immersionnon-degenerable immersiontransversal volume element map

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (3)

A generalization of Lelieuvre's formula to equiaffine immersions of general codimension ⋮ On Cartan's identities of equiaffine isoparametric hypersurfaces ⋮ The quadratic slice theorem and the equiaffine tube theorem for equiaffine Dupin hypersurfaces

Cites Work

• Cubic form theorem for affine immersions
• A generalization of Lelieuvre's formula
• Centroaffine immersions of codimension two and projective hypersurface theory
• The Lipschitz-Killing curvature for an equiaffine immersion and theorems of Gauss-Bonnet type and Chern-Lashof type.
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