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

共 50 条

[1] Congruence of minimal surfaces and higher fundamental forms
Theodoros Vlachos
[J]. manuscripta mathematica, 2003, 110 : 77 - 91
[2] CONGRUENCE OF MINIMAL SURFACES
Kassabov, Ognian
[J]. KODAI MATHEMATICAL JOURNAL, 2016, 39 (01) : 175 - 188
[3] RIGIDITY OF MINIMAL SUBMANIFOLDS IN SPHERES IN TERMS OF HIGHER FUNDAMENTAL FORMS
TOTH, G
[J]. MICHIGAN MATHEMATICAL JOURNAL, 1993, 40 (03) : 493 - 505
[4] Higher congruence companion forms
Adibhatla, Rajender
Manoharmayum, Jayanta
[J]. ACTA ARITHMETICA, 2012, 156 (02) : 159 - 175
[5] Laguerre minimal surfaces via congruence of lines
do Prado, Rafaela F.
Roitman, Pedro
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2012, 44 : 803 - 813
[6] MINIMAL SURFACES OF SECOND FUNDAMENTAL FORM
GLASSNER, E
[J]. MONATSHEFTE FUR MATHEMATIK, 1974, 78 (03): : 193 - 214
[7] A Note on Surfaces in Space Forms with Pythagorean Fundamental Forms
Aydin, Muhittin Evren
Mihai, Adela
[J]. MATHEMATICS, 2020, 8 (03)
[8] Minimal Surfaces and Architecture: New Forms
Emmer, Michele
[J]. NEXUS NETWORK JOURNAL, 2013, 15 (02) : 227 - 239
[9] Computing Minimal Surfaces with Differential Forms
Wang, Stephanie
Chern, Albert
[J]. ACM TRANSACTIONS ON GRAPHICS, 2021, 40 (04):
[10] Minimal Surfaces and Architecture: New Forms
Michele Emmer
[J]. Nexus Network Journal, 2013, 15 : 227 - 239

← 1 2 3 4 5 →