La première valeur propre de l'opérateur de Dirac sur les variétés kählériennes compactes
Moroianu, Andrei
HAL, hal-00125977 / Harvested from HAL
Text on HAL
K.D. Kirchberg gave a lower bound for the first eigenvalue of the Dirac operator on a spin compact Kähler manifoldM of odd complex dimension with positive scalar curvature. We prove that manifolds of real dimension 8l+6 satisfying the limiting case are twistor space of quaternionic Kähler manifold with positive scalar curvature and that the only manifold of real dimension 8l+2 satisfying the limiting case is the complex projective space CP^{4l+1}.
Publié le : 1995-07-05
Classification:  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00125977,
     author = {Moroianu, Andrei},
     title = {La premi\`ere valeur propre de l'op\'erateur de Dirac sur les vari\'et\'es k\"ahl\'eriennes compactes},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00125977}
}

Moroianu, Andrei. La première valeur propre de l'opérateur de Dirac sur les variétés kählériennes compactes. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00125977/