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- W2004268435 abstract "On a spin quaternionic-Kähler manifold M4m, we give the spectral decomposition of the spin bundle the action of the fundamental 4-form Ω. Moreover, we compute the eigenvalues of Ω which, in the compact case, play an essential role in the problem of estimating the eigenvalues of the Dirac operator. The proof is based on the decomposition of the spin representation into irreducible components under the action of the group Sp(1) × Sp(m). We show that this algebraic results induces a Whitney decomposition of the spin bundle which, when restricted to the fibres, is the spectral decomposition under the action of Ω." @default.
- W2004268435 created "2016-06-24" @default.
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- W2004268435 date "1995-03-01" @default.
- W2004268435 modified "2023-10-03" @default.
- W2004268435 title "Décomposition du fibré des spineurs d'une variété spin Kähler-quanternionenienne sous l'action de la 4-forme fondamentale" @default.
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- W2004268435 doi "https://doi.org/10.1016/0393-0440(94)00021-u" @default.
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