Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606183 | Differential Geometry and its Applications | 2011 | 12 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nadine Große,