Eigenvalues of Dirac operators for hyperbolic degenerations

Autoren: Frank Pfäffle (2005)

We study the behaviour of the spectrum of the Dirac operator for sequences of compact hyperbolic spin manifolds whose limit is non-compact. If the spectrum of the limit manifold is discrete we show that this spectrum is approximated by the spectra of the compact manifolds.

Zeitschrift:
Manuscr. Math.
Verlag:
Springer
Seiten:
1-29
Band:
116, no. 1

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