The Multiplicity of Eigenvalues of the Hodge Laplacian on 5-Dimensional Compact Manifolds

Author:

Gier Megan E.,Hislop Peter D.

Funder

Directorate for Mathematical and Physical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference18 articles.

1. Albert, J.H.: Genericity of simple eigenvalues for elliptic PDE’s. Proc. Amer. Math. Soc. 48, 413–418 (1975)

2. Aronszajn, N.: A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order. J. Math. Pures Appl. 36, 235–249 (1957)

3. Aronszajn, N., Krzywicki, A., Szarski, J.: A unique continuation theorem for exterior differential forms on Riemannian manifolds. Ark. Mat. 4, 417–453 (1962)

4. Berger, M., Gauduchon, P., Mazet, E.: Springer Lecture Notes in Math. Le spectre d’une variété riemannienne, vol. 194. Springer, Berlin (1974)

5. Bhatia, R.: Matrix Analysis. Springer, New York (1997)

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1. On spectral simplicity of the Hodge Laplacian and curl operator along paths of metrics;Transactions of the American Mathematical Society;2024-08-20

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