A remark on exponential growth and the spectrum of the Laplacian

Higuchi, Yusuke

Higuchi, Yusuke

Kodai Math. J., Tome 24 (2001) no. 1, p. 42-47 / Harvested from Project Euclid

Résumé

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.

Publié le : 2001-05-14
Classification: 58J50, 35P15

@article{1106157294,
     author = {Higuchi, Yusuke},
     title = {A remark on exponential growth and the spectrum of the Laplacian},
     journal = {Kodai Math. J.},
     volume = {24},
     number = {1},
     year = {2001},
     pages = { 42-47},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1106157294}
}

Higuchi, Yusuke. A remark on exponential growth and the spectrum of the Laplacian. Kodai Math. J., Tome 24 (2001) no. 1, pp.  42-47. http://gdmltest.u-ga.fr/item/1106157294/