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The second Dirac eigenvalue of a nearly parallel G₂-manifold
classification
🧮 math.DG
keywords
diraceigenvaluesecondadmittingcomputedependsdimensiondimensions
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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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