The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces (Q1203541)
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scientific article; zbMATH DE number 119841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces |
scientific article; zbMATH DE number 119841 |
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The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces (English)
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10 February 1993
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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 \(S^ 2\).
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reductive homogeneous spaces
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Frobenius reciprocity
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eigenvalues
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Dirac operator
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Berger metrics
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