A note on 4-dimensional locally conformally flat Walker manifolds

被引：0
|
作者：
S. Azimpour
M. Chaichi
M. Toomanian
机构：
[1] University of Tabriz,
[2] University of Payame Noor of Tabriz,undefined
[3] Azad University,undefined
来源：
Journal of Contemporary Mathematical Analysis | 2007年 / 42卷 / 5期
关键词：
Indefinite metrics; curvature tensor; locally conformally flat; Walker manifold; 53C55;
D O I：
10.3103/S1068362307050044
中图分类号：
学科分类号：
摘要：
A 4-dimensional Walker metric on a semi Riemanian manifold M, for the canonical metric with c = 0, have been investigated by M. Chaichi, E. García—Río and Y. Matsushita. The paper generalizes these notions to the case of constant c ≠ 0. Specially the form of defining functions of this metric in locally conformally flat 4-dimensional Walker manifolds is found.
引用
收藏
页码：270 / 277
页数：7
相关论文
共 50 条
  • [21] A note on some properties of 4-dimensional walker metrics
    Azimpour, Sohrab
    AFRIKA MATEMATIKA, 2021, 32 (7-8) : 1253 - 1267
  • [22] A note on some properties of 4-dimensional walker metrics
    Sohrab Azimpour
    Afrika Matematika, 2021, 32 : 1253 - 1267
  • [23] Locally conformally flat quasi-Einstein manifolds
    Catino, Giovanni
    Mantegazza, Carlo
    Mazzieri, Lorenzo
    Rimoldi, Michele
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2013, 675 : 181 - 189
  • [24] Locally conformally flat weakly-Einstein manifolds
    Eduardo García-Río
    Ali Haji-Badali
    Rodrigo Mariño-Villar
    M. Elena Vázquez-Abal
    Archiv der Mathematik, 2018, 111 : 549 - 559
  • [25] LOCALLY CONFORMALLY FLAT MANIFOLDS WITH CONSTANT SCALAR CURVATURE
    He, Huiya
    Li, Haizhong
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (12) : 5367 - 5378
  • [26] ON VANISHING THEOREMS FOR LOCALLY CONFORMALLY FLAT RIEMANNIAN MANIFOLDS
    Nguyen, Dang Tuyen
    Pham, Duc Thoan
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (02) : 469 - 479
  • [27] Prescribed curvature tensor in locally conformally flat manifolds
    Pina, Romildo
    Pieterzack, Mauricio
    JOURNAL OF GEOMETRY AND PHYSICS, 2018, 123 : 438 - 447
  • [28] CONFORMALLY FLAT AND LOCALLY CONFORMAL KAHLER-MANIFOLDS
    KIRICHENKO, VF
    MATHEMATICAL NOTES, 1992, 51 (5-6) : 462 - 468
  • [29] Prescribed Schouten Tensor in Locally Conformally Flat Manifolds
    Carvalho, Marcos Tulio
    Pieterzack, Mauricio
    Pina, Romildo
    RESULTS IN MATHEMATICS, 2019, 74 (04)
  • [30] A NOTE ON RECURRENT BIVECTORS IN 4-DIMENSIONAL LORENTZ MANIFOLDS
    Kirik, Bahar
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2018, 103 (117): : 103 - 112
12345