First eigenvalue of the Dirac operator for a Kähler manifold of even complex dimension: The limiting case (Q1272372)
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scientific article; zbMATH DE number 1233921
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| English | First eigenvalue of the Dirac operator for a Kähler manifold of even complex dimension: The limiting case |
scientific article; zbMATH DE number 1233921 |
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First eigenvalue of the Dirac operator for a Kähler manifold of even complex dimension: The limiting case (English)
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21 December 1998
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I have given the main result (Theorem 5) of this Letter in [\textit{A. Lichnerowicz}, C. R. Acad. Sci., Paris, Sér. I 311, 717-722 (1990; Zbl 0713.53040)], but the proof was too short and therefore not clear. Moreover, there was a small error in this proof (see [\textit{A. Moroianu}, Ann. Global Anal. Geom. 15, 235-242 (1997; Zbl 0890.53058)]). I give here a detailed proof.
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eigenvalues
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Dirac operator
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Kähler spin manifold
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Kähler twistor-spinor
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0.8474515080451965
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0.8260050415992737
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