The Hijazi inequality on conformally parabolic manifolds |
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Authors: | Nadine Große |
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Institution: | Universität Leipzig, Fakultät für Mathematik und Informatik, Johannisgasse 26, Leipzig 04013, Germany |
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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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Keywords: | MSC: primary 53C27 secondary 53C21 |
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