Intégrales de courbure sur des variétés feuilletees

DOI10.4310/jdg/1214435986zbMath0472.53049OpenAlexW1936557795WikidataQ115188741 ScholiaQ115188741MaRDI QIDQ1157794

Harold Rosenberg, Fabiano Gustavo Braga Brito, Rémi Langevin

Publication date: 1981

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214435986

zbMATH Keywords

extrinsic curvatureintrinsic curvaturecodimension 1 foliation

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Foliations in differential topology; geometric theory (57R30)

Related Items (13)

The Newton transformation and new integral formulae for foliated manifolds ⋮ Topological invariants for closed hypersurfaces ⋮ Integral formulas for a foliated sub-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 ⋮ Harmonic conformal flows on manifolds of constant curvature ⋮ Conformal geometry of foliations ⋮ Extrinsic curvatures of distributions of arbitrary codimension ⋮ A critical radius for unit Hopf vector fields on spheres ⋮ Degree of the Gauss map and curvature integrals for closed hypersurfaces ⋮ A remark on minimal foliations of codimension two ⋮ Sur la courbure totale des feuilletages des surfaces a bord

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