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Integral invariants of principal SO(n)xSO(r) group structures on space forms

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Publication:595216
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DOI10.1007/BF01456090zbMath0527.53022MaRDI QIDQ595216

Patrick Coulton

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182919


zbMATH Keywords

sectional curvatureminimal foliationcodimension one foliation on a flat toruscomplementary orthogonal foliationsprincipal SO(n)xSO(r) group structures on space formstotally geodesic foliations


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact Lie groups of differentiable transformations (57S15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)




Cites Work

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  • Une obstruction geométrique à l'existence de feuilletages de codimension 1 totalement geodesiques
  • Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
  • A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
  • Average Gaussian curvature of leaves of foliations
  • Totally geodesic foliations
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