# A spectral estimate for the Dirac operator on Riemannian flows

#### Autoren: Nicolas Ginoux, Georges Habib (2010)

We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on Sasakian and on 3-dimensional manifolds and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.

Zeitschrift:
Cent. Eur. J. Math.
Verlag:
Springer
Seiten:
950-965
Band:
8, no. 5

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