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

Bogdan Alexandrov

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

Differential Geometry 2007-05-23 v1

Authors: Bogdan Alexandrov

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.

Keywords

dirac operator first eigenvalue riemannian spin manifold locally reducible scalar curvature

Cite

@article{arxiv.math/0502536,
  title  = {The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds},
  author = {Bogdan Alexandrov},
  journal= {arXiv preprint arXiv:math/0502536},
  year   = {2007}
}

Comments

7 pages

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