Positive curvature and eigenfunctions of the Laplacian
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- by Harold Donnelly PDF
- Proc. Amer. Math. Soc. 136 (2008), 373-376 Request permission
Abstract:
Examples are given of noncompact Riemannian manifolds having nonnegative Ricci cuvature and infinitely many square integrable eigenfunctions for the Laplace operator.References
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Additional Information
- Harold Donnelly
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- Received by editor(s): November 24, 2006
- Published electronically: October 5, 2007
- Additional Notes: This author was partially supported by NSF grant DMS-0504729
- Communicated by: Mikhail Shubin
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 373-376
- MSC (2000): Primary 58J50, 58J53
- DOI: https://doi.org/10.1090/S0002-9939-07-09042-9
- MathSciNet review: 2350426