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Discretization of Compact Riemannian Manifolds Applied to the Spectrum of Laplacian

✍ Scribed by Tatiana Mantuano

Publisher
Springer
Year
2005
Tongue
English
Weight
402 KB
Volume
27
Category
Article
ISSN
0232-704X

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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

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