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- W1495068913 abstract "Kra [Kr] introduced a distance $d_{K}$ on every hyperbolic Riemann surface $R$ by means of Teichmüller shift mappings. Recently Gardiner and Lakic [GL2] defined a metric density $lambda$, the Teichmüller density, on such a surface. The paper deals with some basic properties of the Teichmüller density $lambda$ and the distance $d_{K}$, giving some close relation between them. Particularly, it is shown that the distance function $d_{K} : R times R to mathbb{R}$ is continuously differentiable off the diagonal, and the Teichmüller density $lambda$ is precisely the metric density of the infinitesimal form of the distance $d_{K}$ and it is continuous on the whole surface $R$. Some related topics will also be discussed." @default.
- W1495068913 created "2016-06-24" @default.
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- W1495068913 date "2003-01-01" @default.
- W1495068913 modified "2023-10-18" @default.
- W1495068913 title "Some notes on Teichmüller shift mappings and the Teichmüller density" @default.
- W1495068913 doi "https://doi.org/10.1215/kjm/1250283748" @default.
- W1495068913 hasPublicationYear "2003" @default.
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