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MiS Preprint
43/2008

The Hijazi inequality on conformally parabolic manifolds

Nadine Große

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.

Received:
02.06.2008
Published:
19.06.2008
MSC Codes:
53C27, 53C21
Keywords:
dirac operator, conformally parabolic manifold, conformal geometry

Related publications

inJournal
2011 Repository Open Access
Nadine Grosse

The Hijazi inequality on conformally parabolic manifolds

In: Differential geometry and its applications, 29 (2011) 6, pp. 838-849