Hironori Kumura

activity

20052012

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

11 citations · 30 across the 10 of their papers we have counts for

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math.DG2005

On the essential spectrum of the Laplacian and vague convergence of the curvature at infinity

Hironori Kumura

We shall prove that under some volume growth condition, the essential spectrum of the Laplacian contains the interval $[(n - 1)^{2} K /4, \infty)$ if an $n$ -dimensional Riemannian manifo…

math.DG2005

The radial curvature of an end that makes eigenvalues vanish in the essential spectrum I

Hironori Kumura

The concern of this paper is to clarify a relationship between the curvatures at infinity and the spectral structure of the Laplacian. In particular, this paper discusses the quest…