A study on magnetic curves in trans-Sasakian manifolds

被引：1

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 32 条

[1] KAHLER MAGNETIC-FIELDS ON A COMPLEX PROJECTIVE-SPACE .4. [J].

ADACHI, T .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1994, 70 (01) :12-13

[2] Magnetic Curves in Three-Dimensional Quasi-Para-Sasakian Geometry [J].

Alin, C. C. ;

Crasmareanu, M. .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (04) :2087-2097

[3]

[Anonymous], 2013, arXiv

[4]

[Anonymous], 1978, Bull. London Math. Soc, DOI DOI 10.1112/BLMS/10.1.1

[5]

Baird P., 2003, London Mathematical Society Monographs. New Series, V29

[6] The Gauss-Landau-Hall problem on Riemannian surfaces -: art. no. 112905 [J].

Barros, M ;

Romero, A ;

Cabrerizo, JL ;

Fernández, M .

JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (11)

[7] f-Biharmonic and Bi-f-Harmonic Magnetic Curves in Three-Dimensional Normal Almost Paracontact Metric Manifolds [J].

Bozdag, Serife Nur ;

Erdogan, Feyza Esra .

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2021, 14 (02) :331-347

[8] On the existence of almost contact structure and the contact magnetic field [J].

Cabrerizo, J. L. ;

Fernandez, M. ;

Gomez, J. S. .

ACTA MATHEMATICA HUNGARICA, 2009, 125 (1-2) :191-199

[9] The contact magnetic flow in 3D Sasakian manifolds [J].

Cabrerizo, J. L. ;

Fernandez, M. ;

Gomez, J. S. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (19)

[10] Killing magnetic curves in three-dimensional almost paracontact manifolds [J].

Calvaruso, Giovanni ;

Munteanu, Marian Ioan ;

Perrone, Antonella .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (01) :423-439

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