A study on magnetic curves in trans-Sasakian manifolds

被引:0
|
作者
Bozdag, Serife Nur [1 ]
机构
[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkiye
来源
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2023年 / 31卷 / 03期
关键词
Magnetic curves; Legendre curves; Trans-Sasakian Manifolds; Biharmonic curves; f-Harmonic curves; f-Biharmonic curves; BIHARMONIC MAPS;
D O I
10.2478/auom-2023-0031
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we focused on biharmonic, f-harmonic and f-biharmonic magnetic curves in trans-Sasakian manifolds. Moreover, we obtain necessary and su cient conditions for magnetic curves as well as Legendre magnetic curves to be biharmonic, f-harmonic and f-biharmonic. We investigate the states of these conditions in alpha-Sasakian, beta-Kenmotsu and cosymplectic manifolds. Besides, we obtain some nonexistence theorems.
引用
收藏
页码:47 / 60
页数:14
相关论文
共 50 条
  • [21] η-RICCI SOLITONS ON TRANS-SASAKIAN MANIFOLDS WITH QUARTER-SYMMETRIC NON-METRIC CONNECTION
    Bahadir, Oguzhan
    Siddiqi, Mohd Danish
    Akyol, Mehmet Akif
    HONAM MATHEMATICAL JOURNAL, 2020, 42 (03): : 601 - 620
  • [22] A note on doubly warped product contact C R-submanifolds in trans-Sasakian manifolds
    M. -I. Munteanu
    Acta Mathematica Hungarica, 2007, 116 : 121 - 126
  • [23] ON TRANS-SASAKIAN 3-MANIFOLDS WITH symbolscript DEFORMATION WITH REGARD TO THE SCHOUTEN-VAN KAMPEN CONNECTION
    Zeren, Semra
    Yildiz, Ahmet
    Perktas, Selcen Yuksel
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2022, 112 (126): : 71 - 82
  • [24] Semi-slant warped product submanifolds of a trans-Sasakian manifold
    Khan, Meraj Ali
    Ishan, Amira
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2014, 41 (01): : 38 - 46
  • [25] Biharmonic Curves in Lorentzian Para-Sasakian Manifolds
    Keles, Sadik
    Perktas, Selcen Yueksel
    Kilic, Erol
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2010, 33 (02) : 325 - 344
  • [26] A New Representation for Slant Curves in Sasakian 3-Manifolds
    Ate, Osman
    Gok, Ismail
    Yayli, Yusuf
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2024, 17 (01): : 277 - 289
  • [27] Two Special Types of Curves in Lorentzian α-Sasakian 3-Manifolds
    Chen, Xiawei
    Liu, Haiming
    SYMMETRY-BASEL, 2023, 15 (05):
  • [28] On f-biharmonic Submanifolds of Three Dimensional Trans- Sasakian Manifolds
    Sarkar, Avijit
    Biswas, Nirmal
    KYUNGPOOK MATHEMATICAL JOURNAL, 2021, 61 (02): : 395 - 408
  • [29] On Slant Magnetic Curves in S-manifolds
    Guvenc, Saban
    Ozgur, Cihan
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2019, 26 (04) : 536 - 554
  • [30] On Lorentzian alpha-Sasakian Manifolds
    Yildiz, Ahmet
    Murathan, Cengizhan
    KYUNGPOOK MATHEMATICAL JOURNAL, 2005, 45 (01): : 95 - 103