Bounds for Eigenfunctions of the Laplaci
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Harold Donnelly
📂
Article
📅
2001
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Elsevier Science
🌐
English
⚖ 188 KB
Suppose that f is an eigenfunction of -D with eigenvalue l ] 0. It is proved that where n is the dimension of M and c 1 depends only upon a bound for the absolute value of the sectional curvature of M and a lower bound for the injectivity radius of M. It is then shown that if M admits an isometric