Mean Curvature of Riemannian Foliations

DOI10.4153/CMB-1996-012-4zbMath0853.53023WikidataQ115214229 ScholiaQ115214229MaRDI QIDQ4879887

Ernst A. Ruh, Peter March, Maung Min-Oo

Publication date: 9 January 1997

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Hodge decompositionmean curvaturePoincaré dualityvanishing theoremsRiemannian foliationsbasic differential formstautness

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (14)

Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4 ⋮ Twisted basic Dolbeault cohomology on transverse Kähler foliations ⋮ Eigenvalue estimates for the basic Dirac operator on a Riemannian foliation admitting a basic harmonic 1-form ⋮ Modified differentials and basic cohomology for Riemannian foliations ⋮ Riemannian foliations admitting transversal conformal fields ⋮ Remarks on transversal Killing spinors ⋮ Transverse conformal Killing forms and a Gallot-Meyer theorem for foliations ⋮ Basic Dolbeault cohomology and Weitzenböck formulas on transversely Kähler foliations ⋮ New estimates for eigenvalues of the basic Dirac operator ⋮ The mean curvature of transverse Kähler foliations ⋮ Eigenvalue estimate of the basic Dirac operator on a Kähler foliation ⋮ Lower bounds for the eigenvalues of the basic Dirac operator on a Riemannian foliation ⋮ Eigenvalues of the basic Dirac operator on quaternion-Kähler foliations ⋮ Riemannian foliations admitting transversal conformal fields. II

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