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- W2941690824 abstract "In this paper, we extend the construction of pressure metrics to Teichmuller spaces of surfaces with punctures. This construction recovers Thurston's Riemannian metric on Teichmuller spaces. Moreover, we prove the real analyticity and the convexity of Manhattan curves of the finite area type-preserving Fuchsian representations, and thus we obtain several related entropy rigidity results. Lastly, relating the two topics mentioned above, we show that one can derive the pressure metric by varying Manhattan curves." @default.
- W2941690824 created "2019-05-03" @default.
- W2941690824 creator A5090209558 @default.
- W2941690824 date "2019-04-28" @default.
- W2941690824 modified "2023-09-24" @default.
- W2941690824 title "Pressure metrics and Manhattan curves for Teichmuller spaces of punctured surfaces" @default.
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- W2941690824 doi "https://doi.org/10.48550/arxiv.1904.12429" @default.
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