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

Bogdan Alexandrov

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

Bogdan Alexandrov

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Abstract

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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Bogdan Alexandrov. 2005-02-25. The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds. https://arxiv.org/abs/math/0502536

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