Centroaffine Minimal Surfaces with Non-Semisimple Centroaffine Tchebychev Operator

被引：8

作者：

Fujioka, Atsushi ^{[1
]}

机构：

[1] Hitotsubashi Univ, Grad Sch Econ, Tokyo 1868601, Japan

来源：

RESULTS IN MATHEMATICS | 2009年 / 56卷 / 1-4期

基金：

日本学术振兴会;

关键词：

Centroaffine minimal surfaces; centroaffine Tchebychev operator; center map; CONGRUENT CENTER MAP; AFFINE; HYPERSURFACES;

D O I：

10.1007/s00025-009-0427-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study centroaffine minimal surfaces with non-semisimple centroaffine Tchebychev operator and classify such surfaces with constant centroaffine curvature. We also study the center map of such surfaces and show that it becomes a centroaffine surface if and only if the centroaffine curvature is not equal to 1.

引用

页码：177 / 195

页数：19

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