- 98-157 M. Hoffmann-Ostenhof M., Hoffmann-Ostenhof T., Nadirashvili N.
- On the multiplicity of eigenvalues of the Laplacian on surfaces
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Mar 6, 98
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Abstract. We show that the multiplicity of the eigenvalues of the
Laplace Beltrami operator on compact Riemannian surfaces with
genus zero is bounded by $m(\lambda_k) \le 2k-3 $ for $k\ge3$.
Here we label the eigenvalues in the following way:
$0=\lambda_1<\lambda_2\le \lambda_3\dots$.
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