The Second Dirac Eigenvalue of a Nearly Parallel G2-Manifold |
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| Authors: | Thomas Friedrich |
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| Institution: | 1. Institut f??r Mathematik, Humboldt-Universit?t zu Berlin, Sitz: WBC Adlershof, D-10099, Berlin, Germany
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| Abstract: | We investigate the second Dirac eigenvalue on Riemannian manifolds admitting a Killing spinor. In small dimensions the whole Dirac spectrum depends on special eigenvalues on functions and 1-forms. We compute and discuss the formulas in dimension n = 7. |
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