Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations

Details Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations

2007-07-02

arxiv.org/abs/0707.0203v1

Annales of Global Analysis and Geometry 30 (2006) 289-298

Mathematics

Differential Geometry

Scientific paper

In this paper, we give an optimal lower bound for the eigenvalues of the
basic Dirac operator on a quaternion-Kahler foliation. The limiting case is
characterized by the existence of quaternion-Kahler Killing spinors. We end
this paper by giving some examples.

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