On spectral simplicity of the Hodge Laplacian and curl operator along paths of metrics

DOI10.1090/TRAN/9221MaRDI QIDQ6629477

Willi Kepplinger

Publication date: 30 October 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

curl operatorHodge Laplacian

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Eigenvalue problems for linear operators (47A75) Hodge theory in global analysis (58A14) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Cites Work

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• Generic Properties of Eigenfunctions
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• Contact structures and Beltrami fields on the torus and the sphere
• Reeb embeddings and universality of Euler flows

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