# L^{p}-spectrum of the Dirac operator on products with hyperbolic spaces

by

Bernd Ammann, Nadine Große

**L**^{p}-spectrum of the Dirac operator on products with hyperbolic spaces
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* Calc. Var. Partial Differential Equations* **55** (2016), 55:127.

We study the L^{p}-spectrum of the Dirac operator on complete manifolds. One of the main questions in this context is whether this spectrum depends on p. As a first example where p-independence fails we compute explicitly the L^{p}-spectrum for the hyperbolic space and its product with compact spaces.
### Typo

On page 127, line 21 of the published version — which is page 5, line -10 and -9 of the preprint version as in the link above —
there are some typos:
- One should write
ψ=(ψ
_{1},ψ_{2})∈**Γ**(Σ_{N}...
instead of
ψ=(ψ_{1},ψ_{2})∈ Σ_{N}...
- In the case m even and n odd one should use the volume element of M instead of the one for N.

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The Paper was written on 12.5.2014

Last update of the web-page 16.9.2019