An Extremal Class of Three-Dimensional Hyperbolic Affine Spheres

被引:0
|
作者
Marcus Kriele
Luc Vrancken
机构
[1] Katholieke Universiteit Leuven,Departement Wiskunde
[2] Technische Universität Berlin,Fachbereich Mathematik
来源
Geometriae Dedicata | 1999年 / 77卷
关键词
affine differential geometry; affine hyperspheres.;
D O I
暂无
中图分类号
学科分类号
摘要
In analogy to an inequality of Chen [2], Scharlach and co-workers [7] have found a new, optimal inequality for (equi-) affine spheres. We classify those three-dimensional hyperbolic affine spheres for which the corresponding equality is assumed. This complements the classification of the elliptic case [3].
引用
收藏
页码:239 / 252
页数:13
相关论文
共 50 条
  • [1] An extremal class of three-dimensional hyperbolic affine spheres
    Kriele, M
    Vrancken, L
    GEOMETRIAE DEDICATA, 1999, 77 (03) : 239 - 252
  • [2] Coexistence of singular cycles in a class of three-dimensional piecewise affine systems
    Liu, Minghao
    Liu, Ruimin
    Wu, Tiantian
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (05):
  • [3] Sliding Homoclinic Bifurcations in a Class of Three-Dimensional Piecewise Affine Systems
    Wu, Tiantian
    Zhao, Zhe
    Huan, Songmei
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2024, 34 (09):
  • [4] Homoclinic Bifurcations in a Class of Three-Dimensional Symmetric Piecewise Affine Systems
    Liu, Ruimin
    Liu, Minghao
    Wu, Tiantian
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (09):
  • [5] AFFINE SPINOR DECOMPOSITION IN THREE-DIMENSIONAL AFFINE GEOMETRY
    吴澄冉
    李洪波
    ActaMathematicaScientia, 2022, 42 (06) : 2301 - 2335
  • [6] Affine Spinor Decomposition in Three-Dimensional Affine Geometry
    Wu, Chengran
    Li, Hongbo
    ACTA MATHEMATICA SCIENTIA, 2022, 42 (06) : 2301 - 2335
  • [7] Affine spinor decomposition in three-dimensional affine geometry
    Chengran Wu
    Hongbo Li
    Acta Mathematica Scientia, 2022, 42 : 2301 - 2335
  • [8] On the existence of homoclinic orbits in some class of three-dimensional piecewise affine systems
    Chen, Yanli
    Wu, Tiantian
    Yang, Xiaosong
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (05): : 6022 - 6033
  • [9] On the existence of homoclinic orbits in some class of three-dimensional piecewise affine systems
    Yanli Chen
    Tiantian Wu
    Xiaosong Yang
    Computational and Applied Mathematics, 2018, 37 : 6022 - 6033
  • [10] Three-Dimensional Affine Spatial Logics
    Adam Trybus
    Logica Universalis, 2022, 16 : 603 - 620