The Hijazi inequality on conformally parabolic manifolds
Differential Geometry
2011-11-11 v4
Abstract
We prove the Hijazi inequality, an estimate for Dirac eigenvalues, for complete manifolds of finite volume. Under some additional assumptions on the dimension and the scalar curvature, this inequality is also valid for elements of the essential spectrum. This allows to prove the conformal version of the Hijazi inequality on conformally parabolic manifolds if the spin analog to the Yamabe invariant is positive.
Keywords
Cite
@article{arxiv.0804.3878,
title = {The Hijazi inequality on conformally parabolic manifolds},
author = {Nadine Große},
journal= {arXiv preprint arXiv:0804.3878},
year = {2011}
}