Global Properties of Biconservative Surfaces in R3 and S3

被引:0
|
作者
Nistor, Simona [1 ]
Oniciuc, Cezar [2 ]
机构
[1] Alexandru Ioan Cuza Univ, Fac Math, Res Dept, Bd Carol I 11, Iasi 700506, Romania
[2] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol I 11, Iasi 700506, Romania
关键词
Biconservative surfaces; complete surfaces; mean curvature function; real space forms; minimal surfaces;
D O I
10.24064/iwts2016.2017.1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We survey some recent results on biconservative surfaces in 3-dimensional space forms N-3(c) with a special emphasis on the c = 0 and c = 1 cases. We study the local and global properties of such surfaces, from extrinsic and intrinsic point of view. We obtain all non-CMC complete biconservative surfaces in R-3 and S-3.
引用
收藏
页码:30 / 56
页数:27
相关论文
共 50 条
  • [41] Delaunay Surfaces in S3(ρ)
    Arroyo, J.
    Garay, O. J.
    Pampano, A.
    FILOMAT, 2019, 33 (04) : 1191 - 1200
  • [42] FREE SURFACES IN S3
    HEMPEL, J
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 141 (JUL) : 263 - &
  • [43] Geometric properties of surfaces with the same mean curvature in R3 and L3
    Albujer, Alma L.
    Caballero, Magdalena
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 445 (01) : 1013 - 1024
  • [44] Lagrangian submanifolds of the nearly Kahler S3 x S3 from minimal surfaces in S3
    Bektas, Burcu
    Moruz, Marilena
    Van der Veken, Joeri
    Vrancken, Luc
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2019, 149 (03) : 655 - 689
  • [45] The Weierstrass representation of closed surfaces in R3
    Taimanov, IA
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1998, 32 (04) : 258 - 267
  • [46] DEGENERATE HOMOGENEOUS AFFINE SURFACES IN R3
    VRANCKEN, L
    GEOMETRIAE DEDICATA, 1994, 53 (03) : 333 - 351
  • [47] Complete Embedded Harmonic Surfaces in R3
    Connor, Peter
    Li, Kevin
    Weber, Matthias
    EXPERIMENTAL MATHEMATICS, 2015, 24 (02) : 196 - 224
  • [48] RESTRICTION FOR HOMOGENEOUS POLYNOMIAL SURFACES IN R3
    Carbery, A.
    Kenig, C. E.
    Ziesler, S. N.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (05) : 2367 - 2407
  • [49] JACOBI FIELDS TO MINIMAL SURFACES IN R3
    BOHME, R
    MANUSCRIPTA MATHEMATICA, 1975, 16 (01) : 51 - 73
  • [50] PROJECTIONS AND REFLECTIONS OF GENERIC SURFACES IN R3
    BRUCE, JW
    MATHEMATICA SCANDINAVICA, 1984, 54 (02) : 262 - 278