Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure

Details Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure

2004-02-26

arxiv.org/abs/math/0402427v1

Mathematics

Differential Geometry

19 pages

Scientific paper

We study some similarities between almost product Riemannian structures and
almost Hermitian structures. Inspired by the similarities, we prove lower
eigenvalue estimates for the Dirac operator on compact Riemannian spin
manifolds with locally product structures. We also provide some examples
(limiting manifolds) for the limiting case of the estimates.

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