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In this paper, we get estimates on the higher eigenvalues of the Dirac operator on locally reducible Riemannian manifolds, in terms of the eigenvalues of the Laplace-Beltrami operator and the… Click to show full abstract
In this paper, we get estimates on the higher eigenvalues of the Dirac operator on locally reducible Riemannian manifolds, in terms of the eigenvalues of the Laplace-Beltrami operator and the scalar curvature. These estimates are sharp, in the sense that, for the first eigenvalue, they reduce to the result of Alexandrov.
Keywords:
operator;
riemannian manifolds;
locally reducible;
operator locally;
reducible riemannian;
dirac operator
Journal Title: Journal of Geometry and Physics
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Geometry and Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!