A spectral estimate for the Dirac operator on Riemannian flows

Details A spectral estimate for the Dirac operator on Riemannian flows A spectral estimate for the Dirac operator on Riemannian flows

2010-10-06

arxiv.org/abs/1010.1107v1

Central European Journal of Mathematics 8 (2010) 950-965

Mathematics

Differential Geometry

Scientific paper

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.

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