Erratum to: Extrinsic diameter of immersed flat tori in \(S^3\)

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• 作者：Yoshihisa Kitagawa (1)
  Masaaki Umehara (2)
  
• 关键词：Primary 53C42 ; Secondary 53C40 ; 53C75
• 刊名：Geometriae Dedicata
• 出版年：2014
• 出版时间：August 2014
• 年：2014
• 卷：171
• 期：1
• 页码：407-412
• 全文大小：297 KB
• 参考文献：1. Kitagawa, Y., Umehara, M.: Extrinsic diameter of immersed flat tori in class="a-plus-plus inline-equation id-i-eq402"> class="a-plus-plus equation-source format-t-e-x">\(S^3\) . Geom. Dedicata class="a-plus-plus">155, 105-40 (2011) class="external" href="http://dx.doi.org/10.1007/s10711-011-9580-5" target="_blank" title="It opens in new window">CrossRef
  
• 作者单位：Yoshihisa Kitagawa (1)
  Masaaki Umehara (2)
  
  1. Department of Mathematics, Utsunomiya University, Mine-machi, Utsunomiya, 321-8505, Japan
  2. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2-12-1-W8-34, O-okayama, Meguro-ku, Tokyo, 152-8552, Japan
  
• ISSN：1572-9168

文摘

In the paper referred to in the title, we proved that any immersed flat tori in \(S^3\) whose mean curvature does not change sign has extrinsic diameter \(\pi \) . Although the main result there is correct, there is a gap of the proof of this fact. The purpose here is to correct the previous paper’s argument and clarify the statement.