Kondo-Tanaka扇形定理的修正

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI:10.55730/1300-0098.3463

ERIC CHOI

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引用次数: 0

摘要

Kondo-Tanaka证明了如果一个旋转对称平面$M_m$是紧集外的von Mangoldt或Cartan-Hadamard，并且具有有限的总曲率，那么它有一个没有切割点对的扇形。我们证明了总曲率有限的条件是可以消除的。摘要应提供清晰的研究信息和获得的结果，不超过200字。摘要不应包含引文。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Modification of the sector theorem of Kondo-Tanaka

Kondo-Tanaka proved that if a rotationally symmetric plane $M_m$ is von Mangoldt or Cartan-Hadamard outside a compact set and has finite total curvature, then it has a sector with no pair of cut points. We show that the condition of finite total curvature can be removed. %The abstract should provide clear information about the research and the results obtained, and should not exceed 200 words. The abstract should not contain citations.

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.