Laguerre geometry of surfaces with plane lines of curvature

被引：28
|
作者：
Musso, E
Nicolodi, L
机构：
[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67010 Coppito, Laquila, Italy
[2] Univ Rome La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy
来源：
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 1999年 / 69卷 / 1期
关键词：
Laguerre geometry; L-minimal surfaces; L-isothermic surfaces; plane curvature lines;
D O I：
10.1007/BF02940867
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study surfaces with plane lines of curvature in the framework of Laguerre geometry and provide explicit representation formulae for these surfaces in terms of a potential function. As an application, we explicitly integrate all L-minimal surfaces with plane curvature lines.
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页码：123 / 138
页数：16
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