A generalization of Lelieuvre's formula to equiaffine immersions of general codimension

DOI10.1007/BF03322730zbMath1045.53008MaRDI QIDQ1412979

Naoyuki Koike

Publication date: 10 November 2003

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

zbMATH Keywords

transversal volume element mapaffine immersion of arbitrary codimensionaffine fundamental form

Mathematics Subject Classification ID

Local submanifolds (53B25) Affine differential geometry (53A15)

Cites Work

• Cubic form theorem for affine immersions
• Holomorphic centroaffine immersions and the Lelieuvre correspondence
• 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.
• Equiaffine immersions of general codimension and its transversal volume element map
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