The Hijazi inequality on conformally parabolic manifolds

Details The Hijazi inequality on conformally parabolic manifolds The Hijazi inequality on conformally parabolic manifolds

2008-04-24

arxiv.org/abs/0804.3878v4

Diff Geom and its Applications (29), Issue 6, December 2011, Pages 838-849

Mathematics

Differential Geometry

Scientific paper

10.1016/j.difgeo.2011.08.011

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.

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