Minimal surfaces in the complex hyperquadric Q(2) II

Minimal surfaces in the complex hyperquadric Q(2) II
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DOI:
10.1090/s0002-9939-2015-12479-3
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发表时间:
2015-01
期刊:
--
影响因子:
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通讯作者:
Jun Wang;Xiaowei Xu
Jun Wang;Xiaowei Xu
中科院分区:
其他
文献类型:
--
作者:
Jun Wang;Xiaowei Xu

文献摘要

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。本文给出了Q2中具有平行第二基本形式的极小曲面的fi分类,它们被唯一地确定为刚性运动。证明了Q2中具有常高斯曲率和常法曲率的极小曲面是全测地曲面。
. In this paper, minimal surfaces with parallel second fundamental form in Q 2 are classified, which are uniquely determined up to a rigidity motion. It is also proved that minimal surfaces in Q 2 with constant Gauss curvature and constant normal curvature are totally geodesic.