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

Erratum to: Extrinsic diameter of immersed flat tori in S^3
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勘误:S^3 中浸没的扁平环面的外径

DOI:
10.1007/s10711-013-9900-z
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发表时间:
2014
影响因子:
0.5
通讯作者:
M.Umehara
M.Umehara
中科院分区:
数学4区
文献类型:
--
作者:
Y.Kitagawa;M.Umehara

文献摘要

相似文献

在本文中,我们证明了任何浸入平坦环面,其平均曲率不改变符号有外直径。虽然主要结果是正确的,但对这一事实的证明存在空白。这里的目的是纠正前一篇文章的论点,澄清这一说法。
In the paper referred to in the title, we proved that any immersed flat tori inwhose mean curvature does not change sign has extrinsic diameter. 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.