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
收藏
页码：123 / 138
页数：16
相关论文
共 50 条
  • [1] Laguerre geometry of surfaces with plane lines of curvature
    Emilio Musso
    Lorenzo Nicolodi
    [J]. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1999, 69 : 123 - 138
  • [2] Differential geometry properties of lines of curvature of parametric surfaces and their visualization
    Joo, Han Kyul
    Yazaki, Tatsuya
    Takezawa, Masahito
    Maekawa, Takashi
    [J]. GRAPHICAL MODELS, 2014, 76 : 224 - 238
  • [3] A HYPERBOLIC MODEL OF LAGUERRE PLANE GEOMETRY
    DUBIKAJTIS, L
    GUSCIORA, H
    [J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1967, 15 (09): : 619 - +
  • [4] A variational problem for surfaces in Laguerre geometry
    Musso, E
    Nicolodi, L
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (11) : 4321 - 4337
  • [5] Isothermal surfaces in Laguerre geometry.
    Musso, E
    Nicolodi, L
    [J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1997, 11B : 125 - 144
  • [6] A SYSTEM OF AXIOMS OF REAL PLANE LAGUERRE GEOMETRY
    GUSCIORA, H
    [J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1965, 13 (05): : 363 - &
  • [7] Laguerre geometry of surfaces in R3
    Li, TZ
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (06) : 1525 - 1534
  • [8] Laguerre Geometry of Surfaces in R3
    Tong Zhu Li
    [J]. Acta Mathematica Sinica, 2005, 21 : 1525 - 1534
  • [9] On the curvature lines of some surfaces
    Blutel, E
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1903, 137 : 35 - 37
  • [10] Lines of curvature on algebraic surfaces
    Sotomayor, J
    Garcia, R
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 1996, 120 (04): : 367 - 395
12345