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- Kinjo Erina
- Department of Mechanical Engineering, Ehime University
抄録
<p>For a generalized Cantor set E(ω) with respect to a sequence <img align="middle" src="./Graphics/abst-1.jpg"/>, we consider Riemann surface <img align="middle" src="./Graphics/abst-2.jpg"/> and metrics on Teichmüller space T(XE(ω)) of XE(ω). If E(ω) = <img align="middle" src="./Graphics/abst-3.jpg"/> (the middle one-third Cantor set), we find that on <img align="middle" src="./Graphics/abst-4.jpg"/>, Teichmüller metric dT defines the same topology as that of the length spectrum metric dL. Also, we can easily check that dT does not define the same topology as that of dL on T(XE(ω)) if sup qn = 1. On the other hand, it is not easy to judge whether the metrics define the same topology or not if inf qn = 0. In this paper, we show that the two metrics define different topologies on T(XE(ω)) for some <img align="middle" src="./Graphics/abst-5.jpg"/> such that inf qn = 0.</p>
収録刊行物
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- ＫＯＤＡＩ ＭＡＴＨＥＭＡＴＩＣＡＬ ＪＯＵＲＮＡＬ
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ＫＯＤＡＩ ＭＡＴＨＥＭＡＴＩＣＡＬ ＪＯＵＲＮＡＬ 47 (1), 34-51, 2024-03-11
国立大学法人 東京工業大学理学院数学系
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詳細情報 詳細情報について
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- CRID
- 1390299440020851200
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- DOI
- 10.2996/kmj47103
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- ISSN
- 18815472
- 03865991
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
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- 抄録ライセンスフラグ
- 使用不可