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.
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页码：47 / 60
页数：14
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