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Positive curvature and eigenfunctions of the Laplacian
Author:
Harold Donnelly
Journal:
Proc. Amer. Math. Soc. 136 (2008), 373-376
MSC (2000):
Primary 58J50, 58J53
Posted:
October 5, 2007
MathSciNet review:
2350426
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Additional Information
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
Posted:
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
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