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    题名 作者 年代 出处 被引量
1Totally real conformal minimal tori in the hyperquadric Q_2显示文摘Our purpose is to study the minimal tori in the hyperquadric Q2.Firstly,we obtain a necessary and sufcient condition for the minimal surface in Qnwhich is also minimal in CPn+1.Next,we show that this kind of minimal surface(neither holomorphic nor anti-holomorphic) with constant curvature in Q2 is part of a flat totally real torus.Finally,we prove that totally real minimal flat tori in Q2 must be totally geodesic,and we classify all the totally geodesic closed surfaces in Q2.ZHONG Xu WANG Jun JIAO XiaoXiang 2013Science China Mathematics2013,56,10:3
2超二次曲面Q_3中的共形极小二维球面(英文)显示文摘利用调和序列研究超二次曲面Q3中的共形极小二维球面,得到四类线性满的常曲率的极小二维球面.尽管它们在CP4中都是极小的,但是它们的几何并不相同.王军 钟旭 2014中国科学院大学学报(中英文)2014,31,2:0
3Super minimal surfaces in hyper quadric Q2显示文摘We study a superminimal surface M immersed into a hyperquadric Q2 in several cases classified by two global defined functions TX and TY,which were introduced by X.X.Jiao and J.Wang to study a minimal immersion f:M→Q2.In case both TX and TY are not identically zero,it is proved that fis superminimal if and only if f is totally real or io f:M→CP3 is also minimal,where i:Q2→CP^3 is the standard inclusion map.In the rest case that TX=0 or TY=0,the minimal immersion f is automatically superminimal.As a consequence,all the superminimal two-spheres in Q2 are completely described.Jun WANG Jie FEI 2020Frontiers of Mathematics in China2020,15,5:0
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