$L^p$-spectrum of the Dirac operator on products with hyperbolic spaces
  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. 
Bernd Ammann and Nadine Gro{\ss}e
math.DG math.SP