The isospectral problem for $p$-widths: an application of Zoll metrics
We pose the isospectral problem for the $p$-widths: is a Riemannian manifold $(M^{n+1}, g)$ uniquely determined by its $p$-widths, $\bigl \lbrace \omega _p(M,g)\bigr \rbrace _{p=1}^{\infty }$? We construct many counterexamples on $S^2$ using Zoll metrics and the fact that geodesic $p$-widths are giv...
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2025-06-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.708/ |
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