Green's theorem on a foliated Riemannian manifold and its applications
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Publication:810891
DOI10.1007/BF01903838zbMath0734.53028WikidataQ115393060 ScholiaQ115393060MaRDI QIDQ810891
Publication date: 1990
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
minimal foliationsGreen's theorembundle-like metricsparallel normal vectorfieldstransverse Riemannian connection
Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)
Related Items (20)
\(\lambda\)-automorphisms of a Riemannian foliation ⋮ Variation formulas for transversally harmonic and biharmonic maps ⋮ Liouville type theorem for \((\mathcal{F},\mathcal{F}')_p\)-harmonic maps on foliations ⋮ Riemannian foliations admitting transversal conformal fields ⋮ Transverse conformal Killing forms and a Gallot-Meyer theorem for foliations ⋮ Transversally holomorphic maps between Kähler foliations ⋮ A conformal integral invariant on Riemannian foliations ⋮ Basic Dolbeault cohomology and Weitzenböck formulas on transversely Kähler foliations ⋮ The mean curvature of transverse Kähler foliations ⋮ Lower bounds for the eigenvalues of the basic Dirac operator on a Riemannian foliation ⋮ The first eigenvalue of the transversal Dirac operator ⋮ Eigenvalues of the basic Dirac operator on quaternion-Kähler foliations ⋮ The mean curvature cohomology class for foliations and the infinitesimal geometry of the leaves ⋮ Unnamed Item ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Riemannian foliations admitting transversal conformal fields. II ⋮ Eigenvalues of the transversal Dirac operator on Kähler foliations ⋮ Lower bounds for the eigenvalue of the transversal Dirac operator on a Kähler foliation ⋮ TRANSVERSAL INFINITESIMAL AUTOMORPHISMS ON KÄHLER FOLIATIONS
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