Laplace eigenvalues of ellipsoids obtained as analytic perturbations of the unit sphere
Author:
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s10455-023-09901-4.pdf
Reference6 articles.
1. Berger, M., Gauduchon, P., Mazet, E.: Le Spectre D’une Variété Riemannienne. Lect. Notes Math. 194, 251 (1971)
2. Donnelly, H.: Harmonic functions on manifolds of nonnegative Ricci curvature. Int. Math. Res. Not. 8, 429–434 (2001). https://doi.org/10.1155/S1073792801000216
3. Mangasuli, A.: On the eigenvalues of the Laplacian for left-invariant Riemannian metrics on $$S^3$$. Int. J. Math. 18(8), 895–901 (2007). https://doi.org/10.1142/S0129167X07004382
4. Mangasuli, A.: On the eigenvalues of the Laplacian for certain perturbations of the standard Euclidean metric on $$S^2$$. Asian J. Math. 13(2), 271–282 (2009). https://doi.org/10.4310/AJM.2009.v13.n2.a6
5. Eswarathasan, S., Kolokolnikov, T.: Laplace-Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory. IMA J. Appl. Math. 87(1), 20–49 (2022). https://doi.org/10.1093/imamat/hxab045
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