New estimates for eigenvalues of the basic Dirac operator

DOI10.2748/TMJ/1264084493zbMath1197.53036OpenAlexW2029252425MaRDI QIDQ961442

Seoung Dal Jung, Jeong Hyeong Park, Soon Chan Kim

Publication date: 30 March 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1264084493

zbMATH Keywords

eigenvalue estimatesbasic Dirac operatorminimal leavestransverse Einsteiniantransverse spin foliations

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Differential geometric aspects of harmonic maps (53C43) Foliations (differential geometric aspects) (53C12)

Cites Work

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• Lower bounds for the eigenvalues of the basic Dirac operator on a Riemannian foliation
• Eigenvalue estimates for the basic Dirac operator on a Riemannian foliation admitting a basic harmonic 1-form
• Transversal Dirac families in Riemannian foliations
• Foliations on Riemannian manifolds
• The basic component of the mean curvature of Riemannian foliations
• Mean Curvature of Riemannian Foliations
• The basic Laplacian of a Riemannian foliation
• The first eigenvalue of the transversal Dirac operator

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