user

Indefinite affine umbilical surfaces in R4

被引：0
|
作者：
Verstraelen, L
Vrancken, L
Witowicz, P
机构：
[1] Katholieke Univ Leuven, Dept Wiskunde, B-3001 Louvain, Belgium
[2] Tech Univ Berlin, Fachbereich Math, D-10623 Berlin, Germany
[3] Politech Rzeszowskiej, Katedra Matemat, PL-35959 Rzeszow, Poland
来源：
GEOMETRIAE DEDICATA | 2000年 / 79卷 / 02期
关键词：
equiaffine normal bundle; affine mean curvature;
D O I：
10.1023/A:1005039604280
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study surfaces M-2 in the four-dimensional affine space bf R-4 equipped with its usual torsion-free connection D and parallel volume form given by the determinant.
引用
收藏
页码：109 / 119
页数：11
相关论文
共 50 条
  • [21] Willmore surfaces of R4 and the Whitney sphere
    Castro, I
    Urbano, F
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2001, 19 (02) : 153 - 175
  • [22] Generalized Weierstrass representation of surfaces in R4
    Chen, Jianhua
    Chen, Weihuan
    JOURNAL OF GEOMETRY AND PHYSICS, 2007, 57 (02) : 367 - 378
  • [23] Characterization of spherical immersions of surfaces in R4
    Monterde, J.
    Volpe, R. C.
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2016, 47 (04): : 1037 - 1049
  • [24] Characterization of spherical immersions of surfaces in R4
    J. Monterde
    R. C. Volpe
    Bulletin of the Brazilian Mathematical Society, New Series, 2016, 47 : 1037 - 1049
  • [25] Equiaffine characterization of Lagrangian surfaces in R4
    Craizer, Marcos
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (09)
  • [26] REFLEXION MAPS AND GEOMETRY OF SURFACES IN R4
    Giblin, P. J.
    Janeczko, S.
    Ruas, M. A. S.
    JOURNAL OF SINGULARITIES, 2020, 21 : 84 - 96
  • [27] On surfaces immersed in Euclidean space R4
    Peng ChiaKuei
    Tang ZiZhou
    SCIENCE CHINA-MATHEMATICS, 2010, 53 (01) : 251 - 256
  • [28] Knots and the topology of singular surfaces in R4
    Mendes, R.
    Nuno-Ballesteros, J. J.
    REAL AND COMPLEX SINGULARITIES, 2016, 675 : 229 - 239
  • [29] On surfaces immersed in Euclidean space R4
    ChiaKuei Peng
    ZiZhou Tang
    Science in China Series A: Mathematics, 2010, 53 : 251 - 256
  • [30] THE GEOMETRY OF CORANK 1 SURFACES IN R4
    Benedini Riul, P.
    Ruas, M. A. S.
    Oset Sinha, R.
    QUARTERLY JOURNAL OF MATHEMATICS, 2019, 70 (03): : 767 - 795
12345