Totally real minimal surfaces in complex Grassmannians

作     者：莫小欢 

作者机构：Department of Mathematics Peking University Beijing 100871 China 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1995年第40卷第14期

页      面：1163-1166页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：minimal surface complex Grassmannian totally real. 

摘      要：Given a harmonic map φfrom a Riemann surface M into the complex projectivespace CP^n, by using the -transform associated to the map φ, Chern et al. obtained the se-quence of harmonic maps. We call it a harmonic sequence. We will say that a harmonicmap φ: M→CP^n is k-orthogonal if k consecutive maps in the harmonic sequence of φ aremutually orthogonal. In particular, φis conformal if and only if φ is 3-orthogonal and, inall cases, φ is at most (n+1)-orthogonal. There are two possible ways in which the