Congruence of minimal surfaces and higher fundamental forms

被引：11

作者：

Vlachos, T ^{[1
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

MANUSCRIPTA MATHEMATICA | 2003年 / 110卷 / 01期

关键词：

Minimal Surface; Fundamental Form; Space Form; High Fundamental Form; Ambient Isometry;

D O I：

10.1007/s00229-002-0310-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that minimal surfaces in space forms are determined, up to ambient isometries, by the induced metric and certain invariants which are defined in terms of the higher fundamental forms and the complex structure.

引用

页码：77 / 91

页数：15

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