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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Positive curvature and eigenfunctions of the Laplacian


Author: Harold Donnelly
Journal: Proc. Amer. Math. Soc. 136 (2008), 373-376
MSC (2000): Primary 58J50, 58J53
Published electronically: October 5, 2007
MathSciNet review: 2350426
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Abstract: Examples are given of noncompact Riemannian manifolds having nonnegative Ricci cuvature and infinitely many square integrable eigenfunctions for the Laplace operator.


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Additional Information

Harold Donnelly
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09042-9
PII: S 0002-9939(07)09042-9
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
Article copyright: © Copyright 2007 American Mathematical Society