Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz
Annales de l'Institut Fourier, Tome 49 (1999) no. 5, pp. 1637-1659.

Nous décrivons toutes les variétés kählériennes compactes de dimension complexe paire à courbure scalaire positive, admettant la plus petite valeur propre possible pour l’opérateur de Dirac.

We describe all compact spin Kähler manifolds of even complex dimension and positive scalar curvature with least possible first eigenvalue of the Dirac operator.

@article{AIF_1999__49_5_1637_0,
     author = {Moroianu, Andrei},
     title = {K\"ahler manifolds with small eigenvalues of the {Dirac} operator and a conjecture of {Lichnerowicz}},
     journal = {Annales de l'Institut Fourier},
     pages = {1637--1659},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {49},
     number = {5},
     year = {1999},
     doi = {10.5802/aif.1732},
     mrnumber = {2001i:58062},
     zbl = {0946.53040},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.1732/}
}
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Moroianu, Andrei. Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz. Annales de l'Institut Fourier, Tome 49 (1999) no. 5, pp. 1637-1659. doi : 10.5802/aif.1732. http://www.numdam.org/articles/10.5802/aif.1732/

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