Eigenvalues of the transversal Dirac operator on Kähler foliations

DOI10.1016/j.geomphys.2005.01.009zbMath1092.53038arXiv0707.0202OpenAlexW2002366318MaRDI QIDQ2581853

Georges Habib

Publication date: 10 January 2006

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

Full work available at URL: https://arxiv.org/abs/0707.0202

zbMATH Keywords

spin structurefirst eigenvaluefoliated Riemannian manifoldKähler foliationtransversal Dirac operator

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spin and Spin({}^c) geometry (53C27) Foliations (differential geometric aspects) (53C12)

Related Items (4)

Eigenvalue estimates for the basic Dirac operator on a Riemannian foliation admitting a basic harmonic 1-form ⋮ Natural equivariant transversally elliptic Dirac operators ⋮ Eigenvalues of the basic Dirac operator on quaternion-Kähler foliations ⋮ The first eigenvalue of the Kohn-Dirac operator on CR manifolds

Cites Work

• On spectral flow of transversal Dirac operators and a theorem of Vafa- Witten
• Green's theorem on a foliated Riemannian manifold and its applications
• The first eigenvalue of the Dirac operator on Kähler manifolds
• Properties of Kählerian twistor-spinors and vanishing theorems
• An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature
• Transversal Dirac families in Riemannian foliations
• Foliations on Riemannian manifolds
• Eigenvalues of the Dirac operator on compact Kähler manifolds
• Killing spinors on Kähler manifolds
• Twistor operators and eigenvalues of the Dirac operator on compact quaternion-Kähler spin manifolds
• Stability of the transversal Kählerian character
• Lower bounds for the eigenvalue of the transversal Dirac operator on a Kähler foliation
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• The first eigenvalue of the transversal Dirac operator

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