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
下载
收藏
页码：109 / 119
页数：11
相关论文
共 50 条
  • [41] Axial Curvature Cycles of Surfaces Immersed in R4
    Garcia, R.
    Sotomayor, J.
    Spindola, F.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (01) : 78 - 97
  • [42] Minimal Surfaces in R4 like the Lagrangian Catenoid
    Lee, Jaehoon
    JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (03)
  • [43] Smoothing closed gridded surfaces embedded in R4
    Pablo Diaz, Juan
    Hinojosa, Gabriela
    Valdez, Rogelio
    Verjovsky, Alberto
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2018, 27 (12)
  • [44] CLASSIFICATION OF TIGHT SURFACES IN R4 - PRELIMINARY REPORT
    CHEN, CS
    POHL, WF
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (05): : A579 - A579
  • [45] Lines of axial curvature on surfaces immersed in R4
    Garcia, R
    Sotomayor, J
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2000, 12 (03) : 253 - 269
  • [46] Surfaces in R4 and their projections to 3-spaces
    Nuno-Ballesteros, J. J.
    Tari, F.
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 1313 - 1328
  • [47] Simple umbilic points on surfaces immersed in R4
    Gutierrez, C
    Guíñez, V
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, 9 (04) : 877 - 900
  • [48] Flat Hyperbolic Centro-affine Tchebychev Hypersurfaces of R4
    Lallechere, Sebastien
    Ramifidisoa, Lucius
    Ravelo, Blaise
    RESULTS IN MATHEMATICS, 2021, 76 (02)
  • [49] Discrete affine minimal surfaces with indefinite metric
    Craizer, Marcos
    Anciaux, Henri
    Lewiner, Thomas
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2010, 28 (02) : 158 - 169
  • [50] ON THE SET OF UMBILICAL POINTS OF A TWISTOR-HOLOMORPHIC IMMERSION INTO R4
    MARBES, H
    MATHEMATISCHE NACHRICHTEN, 1989, 142 : 19 - 26
12345