The Sunada construction and the simple length spectrum

DOI10.1007/s10711-012-9753-xzbMath1287.53033arXiv1111.4317OpenAlexW2086333592MaRDI QIDQ357859

Rasimate Maungchang

Publication date: 13 August 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4317

zbMATH Keywords

surfacegeodesiclengthiso-length spectral

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Geodesics in global differential geometry (53C22) General geometric structures on low-dimensional manifolds (57M50)

Related Items (1)

Characterizing covers via simple closed curves

Cites Work

• Multiplicities of simple closed geodesics and hypersurfaces in Teichmüller space
• Earthquakes are analytic
• Isospectral Riemann surfaces
• Riemannian coverings and isospectral manifolds
• The real analytic theory of Teichmüller space
• Equivalent curves in surfaces
• Isospectral surfaces of small genus
• The Length Spectrum of a Riemann Surface is Always of Unbounded Multiplicity
• Length and Eigenvalue Equivalence
• Geometry and spectra of compact Riemann surfaces

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