Structural equations and an integral formula for foliated manifolds

DOI10.1007/BF00149274zbMath0578.53025OpenAlexW2058777656MaRDI QIDQ1066474

Akhil Ranjan

Publication date: 1986

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00149274

zbMATH Keywords

sectional curvaturesecond fundamental formsorthogonal frames of an integrable subbundle

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (16)

On the global theory of some classes of mappings ⋮ The Newton transformation and new integral formulae for foliated manifolds ⋮ Harmonic foliations on a compact Riemannian manifold of non-negative constant curvature ⋮ A cohomology \((p+1)\) form canonically associated with certain codimension-\(q\) foliations on a Riemannian manifold ⋮ Integral formulae for a Riemannian manifold with two orthogonal distributions ⋮ Integral formulae on foliated symmetric spaces ⋮ New integral formulae for two complementary orthogonal distributions on Riemannian manifolds ⋮ Spectral geometry for Riemannian foliations ⋮ Foliations of semi-Riemannian manifolds ⋮ Extrinsic curvatures of distributions of arbitrary codimension ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Riemannian almost product manifolds and submersions. I. II ⋮ Semi-Riemannian submersions with totally umbilic fibres ⋮ Some differential geometric properties of codimension-one foliations of polynomials growth. ⋮ On quasi-Riemannian foliations

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