Umbilic foliations and curvature

zbMath0880.53025MaRDI QIDQ1358720

Gerard Walschap

Publication date: 8 February 1998

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

zbMATH Keywords

sectional curvaturespace formumbilic foliation

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

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The Euler class of an umbilic foliation ⋮ A cohomology \((p+1)\) form canonically associated with certain codimension-\(q\) foliations on a Riemannian manifold ⋮ One-dimensional metric foliations on compact Lie groups ⋮ Spacelike metric foliations ⋮ On totally umbilic submanifolds of semi-Riemannian manifolds