A spin-conformal lower bound of the first positive Dirac eigenvalue
by
Bernd Ammann

A spin-conformal lower bound of the first positive Dirac eigenvalue (.dvi , .ps, .ps.gz oder .pdf)
Differential Geometry and its applications 18/1, 21-32 (2003), doi:10.1016/S0926-2245(02)00095-5

Abstract

Let D be the Dirac operator on a compact spin manifold M. Assume that 0 is in the spectrum of D. We prove the existence of a lower bound on the first positive eigenvalue of D depending only on the spin structure and the conformal type.

Mathematics Subject Classification

58J50 (Primary), 53C27, 58C40 (Secondary)

Keywords

Dirac operator, first positive eigenvalue, conformal metrics, conformally invariant operators, eigenvalue estimates
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Bernd Ammann, 25.10.2000