A note on geodesic segments in infinite dimensional Teichmuller spaces

Hu Yun; Shen Yuliang

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A note on geodesic segments in infinite dimensional Teichmuller spaces

Hu Yun,Shen Yuliang * #

School of Mathematics Science, Soochow University, Suzhou 215006

*Correspondence author

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Funding: SRFDP Foundation （No.20123201110002）

Opened online: 1 November 2013

Accepted by: none

Citation: Hu Yun,Shen Yuliang.A note on geodesic segments in infinite dimensional Teichmuller spaces[OL]. [ 1 November 2013] http://en.paper.edu.cn/en_releasepaper/content/4566223

It is proved that in any infinite dimensional Teichm"uller space, if there exist more than one geodesic segments between two points, then there must exist infinitely many geodesic segments joining them such that each pair of these geodesic segments are tangent to each other at both endpoints. This answers a question posed by Z. Li in 2012.

Keywords:Teichmuller Space; geodesic segment; Beltrami coefficient

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