Lower bounds for the eigenvalue of the transversal Dirac operator on a Kähler foliation

DOI10.1016/S0393-0440(02)00122-5zbMath1027.53051MaRDI QIDQ1864944

Seoung Dal Jung, Tae Ho Kang

Publication date: 23 March 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorfoliated Riemann manifoldKähler foliationtransversal Dirac operatortransversal Killing spinortransversal scalar curvaturetransversally Einsteinian

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Foliations (differential geometric aspects) (53C12)

Related Items (3)

Eigenvalue estimate of the basic Dirac operator on a Kähler foliation ⋮ Eigenvalues of the basic Dirac operator on quaternion-Kähler foliations ⋮ Eigenvalues of the transversal Dirac operator on Kähler foliations

Cites Work

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• Green's theorem on a foliated Riemannian manifold and its applications
• An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature
• Transversal infinitesimal automorphisms for harmonic Kähler foliations
• Transversal Dirac families in Riemannian foliations
• Foliations on Riemannian manifolds
• The first eigenvalue of the transversal Dirac operator

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