Limiting absorption principle on manifolds having ends with various measure growth rate limits

Abstract

The purpose of this paper is to study the property of the resolvent of the Laplace-Beltrami operator on a noncompact complete Riemannian manifold with various ends each of which has a different limit of the growth rate of the Riemannian measure at infinity, in particular, focusing on the limiting absorption principle. As a result, we will obtain the absolute continuity of the Laplace-Beltrami operator.

32 page

References in corpus (1)

• Spectral analysis of magnetic Laplacians on conformally cusp manifolds

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