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：
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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.
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页码：743 / 768
页数：25
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