Ruh-Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in CP2

被引：0

作者：

Dorfmeister, Josef F. ^{[1
]}

Kobayashi, Shimpei ^{[2
]}

Ma, Hui ^{[3
]}

机构：

[1] Tech Univ Munich, Fak Math, Boltzmannstr 3, D-85747 Garching, Germany

[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

[3] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

MATHEMATISCHE ZEITSCHRIFT | 2020年 / 296卷 / 3-4期

关键词：

Minimal surfaces; Ruh-Vilms theorems; Gauss maps; Loop groups; WEIERSTRASS-TYPE REPRESENTATION; TORI;

D O I：

10.1007/s00209-020-02497-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate surfaces in CP2 without complex points and characterize the minimal surfaces without complex points and the minimal Lagrangian surfaces by Ruh-Vilms type theorems. We also discuss the liftability of an immersion from a surface to CP2 into S-5 Appendix A.

引用

页码：1751 / 1775

页数：25

共 46 条

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