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arXiv · 2309.09373

Carath\'eodory metric on some generalized Teichm\"uller spaces

Xinlong Dong·Sudeb Mitra
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Abstract

We study the Carath\'eodory metric on some generalized Teichm\"uller spaces. Earle showed that the Carath\'eodory metric is complete on any Teichm\"uller space. Miyachi extended this result for Asymptotic Teichm\"uller spaces. We study the completeness of the Carath\'eodory metric on product Teichm\"uller spaces and on the Teichm\"uller space of a closed set in the Riemann sphere.

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Xinlong Dong, Sudeb Mitra. 2023-09-17. Carath\'eodory metric on some generalized Teichm\"uller spaces. https://arxiv.org/abs/2309.09373

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