On systoles and ortho spectrum rigidity

Autor: Hidetoshi Masai, Greg McShane
Rok vydání: 2022
Předmět:
Zdroj: Mathematische Annalen. 385:939-959
ISSN: 1432-1807
0025-5831
DOI: 10.1007/s00208-022-02365-0
Popis: We consider the ortho spectrum of hyperbolic surfaces with totally geodesic boundary. We show that in general the ortho spectrum does not determine the systolic length but that there are only finitely many possibilities. As a corollary we show that, up to isometry, there are only finitely many hyperbolic structures on a surface that share a given ortho spectrum.
24 pages, 14 figures. with more detailed exposition(v2), added further details(v3)
Databáze: OpenAIRE
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