Eigenvalue estimates for the basic Dirac operator on a Riemannian foliation admitting a basic harmonic 1-form
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Publication:870995
DOI10.1016/J.GEOMPHYS.2006.04.008zbMath1115.53032OpenAlexW2091972076WikidataQ115353437 ScholiaQ115353437MaRDI QIDQ870995
Publication date: 15 March 2007
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.04.008
Spin and Spin({}^c) geometry (53C27) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)
Related Items (11)
Liouville type theorem for transversally harmonic maps ⋮ Transverse conformal Killing forms on Kähler foliations ⋮ On the Dirac spectrum of Riemannian foliations admitting a basic parallel 1-form ⋮ Riemannian foliations admitting transversal conformal fields ⋮ Transverse conformal Killing forms and a Gallot-Meyer theorem for foliations ⋮ Vanishing theorem for transverse Dirac operators on Riemannian foliations ⋮ \(L^2\)-transverse conformal Killing forms on complete foliated manifolds ⋮ The Egorov theorem for transverse Dirac-type operators on foliated manifolds ⋮ New estimates for eigenvalues of the basic Dirac operator ⋮ Riemannian foliations admitting transversal conformal fields. II ⋮ TRANSVERSAL INFINITESIMAL AUTOMORPHISMS ON KÄHLER FOLIATIONS
Cites Work
- Transversal Dirac families in Riemannian foliations
- Foliations on Riemannian manifolds
- Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length
- Eigenvalues of the transversal Dirac operator on Kähler foliations
- Mean Curvature of Riemannian Foliations
- The first eigenvalue of the transversal Dirac operator
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