Collapsing of connected sums and the eig
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Junya Takahashi
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Article
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2002
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Elsevier Science
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English
β 72 KB
We study the behavior of the eigenvalues of the Laplacian acting on functions when one side of a connected sum of two closed Riemannian manifolds collapses to a point. We prove that the eigenvalues converge to those of the limit space, by using the method of AnnΓ© and Colbois. From this, we obtain a