Ruled surfaces in E4 with constant ratio of the Gaussian curvature and Gaussian torsion

被引:0
作者
Goncharova, O. A. [1 ]
机构
[1] Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, UA-61103 Kharkov, Ukraine
关键词
ruled surfaces; Gaussian curvature; Gaussian torsion;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Local and global existence theorems on the ruled surfaces with a constant ratio of the Gaussian curvature and Gaussian torsion are proved.
引用
收藏
页码:371 / 379
页数:9
相关论文
共 41 条
  • [1] ON THE SECOND GAUSSIAN CURVATURE OF RULED SURFACES IN EUCLIDEAN 3-SPACE
    Yoon, Dae Won
    TAMKANG JOURNAL OF MATHEMATICS, 2006, 37 (03): : 221 - 226
  • [2] Compact Surfaces with Constant Gaussian Curvature in Product Spaces
    Aledo, Juan A.
    Lozano, Victorino
    Pastor, Jose A.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2010, 7 (03) : 263 - 270
  • [3] Compact Surfaces with Constant Gaussian Curvature in Product Spaces
    Juan A. Aledo
    Victorino Lozano
    José A. Pastor
    Mediterranean Journal of Mathematics, 2010, 7 : 263 - 270
  • [4] Parabolic surfaces in hyperbolic space with constant Gaussian curvature
    Lopez, Rafael
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2009, 16 (02) : 337 - 349
  • [5] Compact surfaces of constant Gaussian curvature in Randers manifolds
    Cui, Ningwei
    JOURNAL OF GEOMETRY AND PHYSICS, 2016, 106 : 122 - 129
  • [6] Ruled Ricci surfaces and curves of constant torsion
    de Carvalho, Alcides
    Domingos, Iury
    Santos, Roney
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2025, 67 (02)
  • [7] Gaussian Curvature Connection of Bezier Surfaces
    Meng, Qingxian
    Liu, Jinqiu
    Meng, Huihui
    PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON CIVIL ENGINEERING AND TRANSPORTATION 2015, 2016, 30 : 1467 - 1470
  • [8] Gaussian curvature on hyperelliptic Riemann surfaces
    Castorena, Abel
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2014, 124 (02): : 155 - 167
  • [9] Gaussian curvature on hyperelliptic Riemann surfaces
    ABEL CASTORENA
    Proceedings - Mathematical Sciences, 2014, 124 : 155 - 167
  • [10] A Hilbert-type theorem for spacelike surfaces with constant Gaussian curvature in ℍ2 × ℝ1
    Alma L. Albujer
    Luis J. Alías
    Bulletin of the Brazilian Mathematical Society, New Series, 2009, 40 : 465 - 478