The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds

Details The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds

2005-02-25

arxiv.org/abs/math/0502536v1

Mathematics

Differential Geometry

7 pages

Scientific paper

We prove a lower estimate for the first eigenvalue of the Dirac operator on a
compact locally reducible Riemannian spin manifold with positive scalar
curvature. We determine also the universal covers of the manifolds on which the
smallest possible eigenvalue is attained.

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