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- W2172974552 abstract "An end D of an infinite Riemann surface R is called to be rigid if every quasiconformal self-mapping of R, homotopic to the identity on R and conformal on D, is actually equal to the identity on D. If there is a determining sequence of rigid ends of R, we say that R has a rigid ideal boundary point. The Teichmuller space of a Riemann surface having a rigid ideal boundary point contrasts with that of a finite Riemann surface. Lei R be a Riemann surface whose Fuchsian model is of the first kind. Then we show that R has a rigid ideal boundary point, either if R contains an infinite planar end, or if R is an infinitely branched two-sheeted covering of a planar region, or if R admits a Green's function." @default.
- W2172974552 created "2016-06-24" @default.
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- W2172974552 date "1990-04-01" @default.
- W2172974552 modified "2023-09-25" @default.
- W2172974552 title "On rigidity of the ideal boundary of an infinite riemann surface" @default.
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- W2172974552 doi "https://doi.org/10.1080/17476939008814414" @default.
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