The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces
Using the formulas for the Dirac operator on reductive homogeneous spaces and the Frobenius reciprocity, the author calculates the eigenvalues of the Dirac operator on the sphere \(S^ 3\) and its quotient equipped with Berger metrics and studies the behaviour under the collapse onto \(S^ 2\).
scientific article; zbMATH DE number 119841