$L^p$-spectrum of the Dirac operator on products with hyperbolic spaces

Abstract

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.

29 pages

Cited by in corpus (1)

• Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry