Conformal infinitesimal variations of Euclidean hypersurfaces

被引：0
|
作者：
M. Dajczer
M. I. Jimenez
Th. Vlachos
机构：
[1] IMPA—Estrada Dona Castorina,Instituto de Ciências Matemáticas e de Computação
[2] 110,Department of Mathematics
[3] Universidade de São Paulo,undefined
[4] University of Ioannina,undefined
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2022年 / 201卷
关键词：
Conformal infinitesimal variations; Euclidean hypersurfaces; Conformal infinitesimal bendings; 53A07; 53B25; 53C18;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the realm of conformal geometry, we give a parametric classification of the hypersurfaces in Euclidean space that admit nontrivial conformal infinitesimal variations. A parametric classification of the Euclidean hypersurfaces that allow a nontrivial conformal variation was obtained by E. Cartan in 1917. In particular, we show that the class of hypersurfaces studied here is much larger than the one characterized by Cartan.
引用
收藏
页码：743 / 768
页数：25
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