Infimum of the exponential volume growth and the bottom of the essential spectrum of the Laplacian

Details Infimum of the exponential volume growth and the bottom of the essential spectrum of the Laplacian Infimum of the exponential volume growth and the bottom of the essential spectrum of the Laplacian

2007-07-02

arxiv.org/abs/0707.0185v3

Mathematics

Differential Geometry

changed content

Scientific paper

The purpose of this paper is to point out that `supremum' in two inequalities
of Brooks should be replaced with `infimum'.
The results of this paper are already known by Professor Higuci. Hence, I
want to delete this paper from this preprint server.

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