Abstract
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.
Citation
Marco Rigoli. Alberto G. Setti. "On the $L^2$ form spectrum of the Laplacian on nonnegatively curved manifolds." Tohoku Math. J. (2) 53 (3) 443 - 452, 2001. https://doi.org/10.2748/tmj/1178207419
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