Magnetic curves in Sasakian manifolds

被引：0
|
作者：
Simona Luiza Druţă-Romaniuc
Jun-ichi Inoguchi
Marian Ioan Munteanu
Ana Irina Nistor
机构：
[1] ‘Alexandru Ioan Cuza’ University of Iasi,Research Department, Faculty of Mathematics
[2] ‘Gheorghe Asachi’ Technical University of Iasi,Department of Mathematics and Informatics
[3] Yamagata University,Department of Mathematical Sciences
[4] University of Tsukuba,Institute of Mathematics
[5] ‘Alexandru Ioan Cuza’ University of Iasi,Faculty of Mathematics
来源：
Journal of Nonlinear Mathematical Physics | 2015年 / 22卷
关键词：
contact magnetic field; magnetic curve; Sasakian manifold; 53C15; 53C25; 53C30; 37J45; 53C80;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we classify the magnetic trajectories corresponding to contact magnetic fields in Sasakian manifolds of arbitrary dimension. Moreover, when the ambient is a Sasakian space form, we prove that the codimension of the curve may be reduced to 2. This means that the magnetic curve lies on a 3-dimensional Sasakian space form, embedded as a totally geodesic submanifold of the Sasakian space form of dimension (2n+1).
引用
收藏
页码：428 / 447
页数：19
相关论文
共 50 条
  • [1] Magnetic curves in Sasakian manifolds
    Druta-Romaniuc, Simona Luiza
    Inoguchi, Jun-ichi
    Munteanu, Marian Ioan
    Nistor, Ana Irina
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2015, 22 (03) : 428 - 447
  • [2] Magnetic Frenet curves on para-Sasakian manifolds
    Bejan, Cornelia-Livia
    Binh, Tran Quoc
    Druta-Romaniuc, Simona-Luiza
    [J]. FILOMAT, 2023, 37 (05) : 1479 - 1496
  • [3] A study on magnetic curves in trans-Sasakian manifolds
    Bozdag, Serife Nur
    [J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2023, 31 (03): : 47 - 60
  • [4] ON PSEUDO-HERMITIAN MAGNETIC CURVES IN SASAKIAN MANIFOLDS
    Guvenc, Saban
    Ozgur, Cihan
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (05): : 1291 - 1304
  • [5] On Legendre curves in α-Sasakian manifolds
    Ozgur, Cihan
    Tripathi, Mukut Mani
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2008, 31 (01) : 91 - 96
  • [6] Magnetic curves in quasi-Sasakian 3-manifolds
    Jun-ichi Inoguchi
    Marian Ioan Munteanu
    Ana Irina Nistor
    [J]. Analysis and Mathematical Physics, 2019, 9 : 43 - 61
  • [7] Magnetic curves in quasi-Sasakian 3-manifolds
    Inoguchi, Jun-ichi
    Munteanu, Marian Ioan
    Nistor, Ana Irina
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2019, 9 (01) : 43 - 61
  • [8] Slant Curves and Contact Magnetic Curves in Sasakian Lorentzian 3-Manifolds
    Lee, Ji-Eun
    [J]. SYMMETRY-BASEL, 2019, 11 (06):
  • [9] On Three-Dimensional Quasi-Sasakian Manifolds And Magnetic Curves
    Sarkar, Avijit
    Sil, Amit
    Paul, Avijit Kumar
    [J]. APPLIED MATHEMATICS E-NOTES, 2019, 19 : 55 - 64
  • [10] On slant curves in Sasakian 3-manifolds
    Cho, Jong Taek
    Inoguchi, Jun-ichi
    Lee, Ji-Eun
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 74 (03) : 359 - 367
12345