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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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Kaituhi matua: Marx-Kuo, Jared
Hōputu: Artigo
Reo:Inglês
I whakaputaina: Académie des sciences 2025-06-01
Rangatū:Comptes Rendus. Mathématique
Ngā marau:
Urunga tuihono:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.708/
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