A note on geodesic foliations on the torus

被引：0
|
作者：
Pierre Mounoud
机构：
[1] Max Planck Institut für Mathematik,
来源：
Geometriae Dedicata | 2007年 / 126卷
关键词：
Geodesic foliation; Geodesic completeness; 53C50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We look at geodesic foliations on the Lorentzian 2-tori which are lightlike on a proper subset. We prove that they do not exist if the torus is geodesically complete. We describe some properties of their orthogonal foliations and we give several new examples.
引用
收藏
页码：275 / 282
页数：7
相关论文
共 50 条
  • [1] A note on geodesic foliations on the torus
    Mounoud, Pierre
    [J]. GEOMETRIAE DEDICATA, 2007, 126 (01) : 275 - 282
  • [2] On the generic nonexistence of rational geodesic foliations in the torus, Mather sets and Gromov hyperbolic spaces
    Ruggiero, R
    [J]. BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA, 2000, 31 (01): : 93 - 111
  • [3] On the generic nonexistence of rational geodesic foliations in the torus, Mather sets and Gromov hyperbolic spaces
    Rafael Ruggiero
    [J]. Boletim da Sociedade Brasileira de Matemática, 2000, 31 : 93 - 111
  • [4] Weaving Geodesic Foliations
    Vekhter, Josh
    Zhuo, Jiacheng
    Fandino, Luisa F. Gil
    Huang, Qixing
    Vouga, Etienne
    [J]. ACM TRANSACTIONS ON GRAPHICS, 2019, 38 (04):
  • [5] TOTALLY GEODESIC FOLIATIONS
    FERUS, D
    [J]. MATHEMATISCHE ANNALEN, 1970, 188 (04) : 313 - &
  • [6] TOTALLY GEODESIC FOLIATIONS
    JOHNSON, DL
    WHITT, LB
    [J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1980, 15 (02) : 225 - 235
  • [7] APPLIED GEODESIC FOLIATIONS
    ZEGHIB, A
    [J]. MATHEMATISCHE ANNALEN, 1994, 298 (04) : 729 - 759
  • [8] TOTALLY GEODESIC FOLIATIONS
    CARRIERE, Y
    GHYS, E
    [J]. ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1981, 53 (03): : 427 - 432
  • [9] MINIMAL FOLIATIONS ON A TORUS
    MOSER, J
    [J]. LECTURE NOTES IN MATHEMATICS, 1989, 1365 : 62 - 99
  • [10] On singular foliations on the solid torus
    Arraut, Jose L.
    Martins, Luciana F.
    Schuetz, Dirk
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (13) : 1659 - 1674
12345