The Gauss-Bonnet and Chern-Lashof theorems in a simply connected symmetric space of compact type

DOI10.3836/tjm/1244208203zbMath1100.53057OpenAlexW2069612662MaRDI QIDQ819516

Naoyuki Koike

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.3836/tjm/1244208203

zbMATH Keywords

Morse theoryEuler characteristicGauss-Bonnet theoremintegral geometryBetti numbercompact manifoldtotal curvatureChern-Lashof theoremsimply connected symmetric space of compact typesquared distance function

Mathematics Subject Classification ID

Integral geometry (53C65) Differential geometry of symmetric spaces (53C35)

Related Items (1)

On the total curvature and Betti numbers of complex projective manifolds

Cites Work

• On the total curvature of immersed manifolds. II
• On the total absolute curvature of closed curves in spheres
• The Euler characteristics and Weyl's curvature invariants of submanifolds in sphere
• Theorems of Gauss-Bonnet and Chern-Lashof types in a simply connected symmetric space of non-positive curvature
• Totale Absolutkrümmung in Differentialgeometrie und -topologie
• On the Total Curvature of Immersed Manifolds

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