On the $L^2$ form spectrum of the Laplacian on nonnegatively curved manifolds

Rigoli, Marco; Setti, Alberto G.

Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 443-452 / Harvested from Project Euclid

Résumé

Let $(M,g_o)$ be a complete, noncompact Riemannian manifold with a pole, and let $g=fg_o$ be a conformally related metric. We obtain conditions on the curvature of $g_o$ and on $f$ under which the Laplacian on $p$-forms on $(M,g)$ has no eigenvalues.

Publié le : 2001-05-14
Classification: Differential forms, Hodge Laplacian, $L^2$-spectrum, 58J50, 53C21

@article{1178207419,
     author = {Rigoli, Marco and Setti, Alberto G.},
     title = {On the $L^2$ form spectrum of the Laplacian on nonnegatively curved manifolds},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 443-452},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207419}
}

Rigoli, Marco; Setti, Alberto G. On the $L^2$ form spectrum of the Laplacian on nonnegatively curved manifolds. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  443-452. http://gdmltest.u-ga.fr/item/1178207419/