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On the second eigenfunctions of the Laplacian in R2

✍ Scribed by Lin, Chang Shou (author)


Publisher
Springer-Verlag
Year
1987
Tongue
English
Weight
382 KB
Volume
111
Category
Article
ISSN
0010-3616

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Bounds for Eigenfunctions of the Laplaci
✍ Harold Donnelly πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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