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

DOI10.3836/tjm/1244208606zbMath1048.53041OpenAlexW1979011997MaRDI QIDQ1429099

Naoyuki Koike

Publication date: 30 March 2004

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208606

zbMATH Keywords

squared distance functionChern-Lashof type inequality tautness

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (3)

The Gauss-Bonnet and Chern-Lashof theorems in a simply connected symmetric space of compact type ⋮ On the total curvature and Betti numbers of complex projective manifolds ⋮ Horo-tightness and total (absolute) curvatures in hyperbolic spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the total curvature of immersed manifolds. II
• Differential topology and the computation of total absolute curvature
• The total absolute curvature of an equiaffine immersion
• Submanifold geometry in symmetric spaces
• Minimal total absolute curvature for immersions
• Totale Absolutkrümmung in Differentialgeometrie und -topologie
• On the Total Curvature of Immersed Manifolds
• Morse Theory. (AM-51)
• TUBES OF NON-CONSTANT RADIUS IN SYMMETRIC SPACES
• The Total Absolute Curvature of Immersed Manifolds
• Umbilical Submanifolds and Morse Functions
• The Lipschitz-Killing curvature for an equiaffine immersion and theorems of Gauss-Bonnet type and Chern-Lashof type.

This page was built for publication: Theorems of Gauss-Bonnet and Chern-Lashof types in a simply connected symmetric space of non-positive curvature