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

2014/05/12 by Ammann, Bernd, Große, Nadine
#34B27 #58J50 #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1405.2830

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.

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