Estimates of small Dirac eigenvalues on 3-dimensional Sasakian manifolds

DOI10.1016/j.difgeo.2010.07.001zbMath1205.53051OpenAlexW2095203688WikidataQ115357066 ScholiaQ115357066MaRDI QIDQ711261

Eui Chul Kim

Publication date: 25 October 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.07.001

zbMATH Keywords

eigenvaluesDirac operatorSasakian manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27)

Related Items

The second Dirac eigenvalue of a nearly parallel \(G_{2}\)-manifold, Eigenvalue estimates for generalized Dirac operators on Sasakian manifolds, Universal curvature identities, Unnamed Item

Cites Work

• Unnamed Item
• The Dirac spectrum
• An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature
• Eigenvalue estimates for the Dirac operator on quaternionic Kähler manifolds
• The Einstein-Dirac equation on Riemannian spin manifolds
• The topology of contact Riemannian manifolds
• Metrics with harmonic spinors
• The \(\hat {A}\)-genus and symmetry of the Dirac spectrum on Riemannian product manifolds
• DIRAC EIGENVALUES ESTIMATES IN TERMS OF DIVERGENCEFREE SYMMETRIC TENSORS
• EIGENVALUES ESTIMATES FOR THE DIRAC OPERATOR IN TERMS OF CODAZZI TENSORS
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• Spectral asymmetry and Riemannian Geometry. I