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.

引用

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页码：123 / 138

页数：16

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