The total absolute curvature of an equiaffine immersion

DOI10.1007/BF03323556zbMath1071.53007MaRDI QIDQ1411431

Naoyuki Koike

Publication date: 29 October 2003

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

zbMATH Keywords

Gauss mapcurvature integralsaffine immersion of arbitrary codimension

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Affine differential geometry (53A15)

Related Items

Theorems of Gauss-Bonnet and Chern-Lashof types in a simply connected symmetric space of non-positive curvature

Cites Work

• On the total curvature of immersed manifolds. II
• Cubic form theorem for affine immersions
• Minimal total absolute curvature for immersions
• Totale Absolutkrümmung in Differentialgeometrie und -topologie
• On the Total Curvature of Immersed Manifolds
• Morse Theory. (AM-51)
• The Lipschitz-Killing curvature for an equiaffine immersion and theorems of Gauss-Bonnet type and Chern-Lashof type.
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