Isometric Embeddings of Subsets of Boundaries of Teichmüller Spaces of Compact Hyperbolic Riemann Surfaces
Isometric Embeddings of Subsets of Boundaries of Teichmüller Spaces of Compact Hyperbolic Riemann Surfaces
复制标题
紧双曲黎曼曲面Teichmüller空间边界子集的等距嵌入
DOI:
10.1007/s10114-020-8096-z
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发表时间:
2020
期刊:
影响因子:
--
通讯作者:
Y. Qi
中科院分区:
文献类型:
--
作者:
Guangming Hu;Y. Qi
It is known that every finitely unbranched holomorphic coveringπ:of a compact Riemann surfaceSwith genusg≥ 2 induces an isometric embedding. By the mutual relations between Strebel rays inTeich(S) and their embeddings in, we show that the 1st-strata space of the augmented Teichmüller spacecan be embedded in the augmented Teichmüller spaceisometrically. Furthermore, we show that Φπinduces an isometric embedding from the setTeich(S)B(∞) consisting of Busemann points in the horofunction boundary ofTeich(S) intowith the detour metric.
DOI:
10.1007/978-4-431-68174-8
发表时间:
1992-07
期刊:
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影响因子:
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作者:
M. Taniguchi;M. Taniguchi;Ysoichi Imayoshi;Yôichi Imayoshi
通讯作者:
M. Taniguchi;M. Taniguchi;Ysoichi Imayoshi;Yôichi Imayoshi
DOI:
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发表时间:
2014
期刊:
影响因子:
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作者:
L. Lui;H. Shiga and Z. Sun;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga
通讯作者:
H. Shiga