Abstract
In this paper, we give an optimal lower bound for the eigenvalues of the basic Dirac operator on a quaternion-Kähler foliations. The limiting case is characterized by the existence of quaternion-Kähler Killing spinors. We end this paper by giving some examples.
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Mathematics Subject Classifications (2000): 53C20 53C12 57R30 58G25.
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Habib, G. Eigenvalues of the basic Dirac operator on quaternion-Kähler foliations. Ann Glob Anal Geom 30, 289–298 (2006). https://doi.org/10.1007/s10455-006-9024-x
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DOI: https://doi.org/10.1007/s10455-006-9024-x