The Hijazi inequality on manifolds with boundary

Details The Hijazi inequality on manifolds with boundary The Hijazi inequality on manifolds with boundary

2006-03-21

arxiv.org/abs/math/0603510v1

Mathematics

Differential Geometry

14 pages

Scientific paper

10.1016/j.geomphys.2005.11.013

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 $\MIT$ 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.

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