ausblenden:
Schlagwörter:
Mathematics, Differential Geometry
Zusammenfassung:
We consider a hyperbolic Dirac-type operator with growing potential on a spatially non-compact globally hyperbolic manifold. We show that the Atiyah-Patodi-Singer boundary value problem for such operator is Fredholm and
obtain a formula for this index in terms of the local integrals and the relative eta-invariant introduced by Braverman and Shi. This extends recent results of B\"ar and Strohmaier, who studied the index of a hyperbolic Dirac
operator on a spatially compact globally hyperbolic manifold.
