The Hijazi inequality on manifolds with boundary
Differential Geometry
2009-11-11 v1
Abstract
In this paper, we prove the Hijazi inequality on compact Riemannian spin manifolds under two boundary conditions: the condition associated with a chirality operator and the Riemannian version of the bag condition. We then show that the limiting-case is characterized as being a half-sphere for the first condition whereas the equality cannot be achieved for the second.
Keywords
Cite
@article{arxiv.math/0603510,
title = {The Hijazi inequality on manifolds with boundary},
author = {Simon Raulot},
journal= {arXiv preprint arXiv:math/0603510},
year = {2009}
}
Comments
14 pages