Spectral Bounds for Dirac Operators on Open Manifolds

Details Spectral Bounds for Dirac Operators on Open Manifolds Spectral Bounds for Dirac Operators on Open Manifolds

2008-10-31

arxiv.org/abs/0810.5598v1

Annals of Global Analysis and Geometry 36 (2009) 67-79

Mathematics

Differential Geometry

pdflatex, 14 pages, 3 figures

Scientific paper

10.1007/s10455-008-9149-1

We extend several classical eigenvalue estimates for Dirac operators on
compact manifolds to noncompact, even incomplete manifolds. This includes
Friedrich's estimate for manifolds with positive scalar curvature as well as
the author's estimate on surfaces.

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