Marked-length-spectral rigidity for flat metrics

In this paper we prove that the space of flat metrics (nonpositively curved Euclidean cone metrics) on a closed, oriented surface is marked-length-spectrally rigid. In other words, two flat metrics assigning the same lengths to all closed curves differ by an isometry isotopic to the identity. The no...

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Veröffentlicht in:	Transactions of the American Mathematical Society 2018-03, Vol.370 (3), p.1867-1884
Hauptverfasser:	Bankovic, Anja, Leininger, Christopher J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Research article
Online-Zugang:	Volltext
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