A remark on exponential growth and the spectrum of the Laplacian

Yusuke Higuchi

doi:10.2996/kmj/1106157294

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Home > Journals > Kodai Math. J. > Volume 24 > Issue 1 > Article

2001 A remark on exponential growth and the spectrum of the Laplacian

Yusuke Higuchi

Kodai Math. J. 24(1): 42-47 (2001). DOI: 10.2996/kmj/1106157294

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Abstract

In terms of the exponential growth of a non-compact Riemannian manifold, we give an upper bounds for the bottom of the essential spectrum of the Laplacian. This is an improvement of Brooks' result.

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Yusuke Higuchi. "A remark on exponential growth and the spectrum of the Laplacian." Kodai Math. J. 24 (1) 42 - 47, 2001. https://doi.org/10.2996/kmj/1106157294