Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length
Moroianu, Andrei ; Ornea, Liviu
HAL, hal-00126029 / Harvested from HAL
Text on HAL
We prove that on a compact n-dimensional spin manifold admitting a non-trivial harmonic 1-form of constant length, every eigenvalue λ of the Dirac operator satisfies some inequality involving the scalar curvature. In the limiting case the universal cover of the manifold is isometric to a cylinder RxN where N is a manifold admitting Killing spinors.
Publié le : 2004-07-05
Classification:  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00126029,
     author = {Moroianu, Andrei and Ornea, Liviu},
     title = {Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00126029}
}

Moroianu, Andrei; Ornea, Liviu. Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00126029/