The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvature
Differential Geometry
2011-07-22 v1 Spectral Theory
Abstract
We show that on every compact spin manifold admitting a Riemannian metric of positive scalar curvature Friedrich's eigenvalue estimate for the Dirac operator can be made sharp up to an arbitrarily small given error by choosing the metric suitably.
Cite
@article{arxiv.math/0305277,
title = {The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvature},
author = {Christian Baer and Mattias Dahl},
journal= {arXiv preprint arXiv:math/0305277},
year = {2011}
}
Comments
7 pages, 3 figures