Lower bounds for the eigenvalues of the basic Dirac operator on a Riemannian foliation

DOI10.1016/j.geomphys.2003.10.004zbMath1076.58022OpenAlexW1992854554WikidataQ115353541 ScholiaQ115353541MaRDI QIDQ557236

Byung Hak Kim, Jin Suk Pak, Seoung Dal Jung

Publication date: 23 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2003.10.004

zbMATH Keywords

basic Dirac operatorbasic Yamabe operator

Mathematics Subject Classification ID

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

Related Items (1)

New estimates for eigenvalues of the basic Dirac operator

Cites Work

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• Green's theorem on a foliated Riemannian manifold and its applications
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Transversal Dirac families in Riemannian foliations
• Foliations on Riemannian manifolds
• Foliated bundles and characteristic classes
• The basic component of the mean curvature of Riemannian foliations
• Lichnerowicz and Obata theorems for foliations.
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• Mean Curvature of Riemannian Foliations
• The basic Laplacian of a Riemannian foliation
• The first eigenvalue of the transversal Dirac operator

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