Killing magnetic curves in three-dimensional almost paracontact manifolds

被引：44

作者：

Calvaruso, Giovanni ^{[1
]}

Munteanu, Marian Ioan ^{[2
]}

Perrone, Antonella ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, I-73100 Lecce, Italy

[2] Univ Alexandru Ioan Cuza Iasi, Dept Math, Iasi 700506, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 01期

关键词：

Almost paracontact metric structures; Normal structures; Killing vector fields; Magnetic curves;

D O I：

10.1016/j.jmaa.2015.01.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For an arbitrary three-dimensional normal paracontact metric structure equipped with a Killing characteristic vector field, we obtain a complete classification of the magnetic curves of the corresponding magnetic field. In particular, this yields to a complete description of magnetic curves for the characteristic vector field of three-dimensional paraSasakian and paracosymplectic manifolds. Explicit examples are described for the hyperbolic Heisenberg group and a paracosymplectic model. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：423 / 439

页数：17

共 50 条

[41] η-RICCI SOLITONS IN (ε)-ALMOST PARACONTACT METRIC MANIFOLDS
Blaga, Adara Monica
Perktas, Selcen Yuksel
Acet, Bilal Eftal
Erdogan, Feyza Esra
GLASNIK MATEMATICKI, 2018, 53 (01) : 205 - 220
[42] δ-Almost Yamabe Solitons in Paracontact Metric Manifolds
De, Krishnendu
De, Uday Chand
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (05)
[43] Some Results on Almost Paracontact Metric Manifolds
Antonella Perrone
Mediterranean Journal of Mathematics, 2016, 13 : 3311 - 3326
[44] Ricci solitons in three-dimensional paracontact geometry
Calvaruso, Giovanni
Perrone, Antonella
JOURNAL OF GEOMETRY AND PHYSICS, 2015, 98 : 1 - 12
[45] ALMOST PARACONTACT ALMOST PARACOMPLEX RIEMANNIAN MANIFOLDS AS EXTENSIONS OF 2-DIMENSIONAL SPACE-FORMS
Manev, M.
Tavkova, V
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2022, 91 (01): : 69 - 79
[46] Slant curves in three-dimensional f-Kenmotsu manifolds
Calin, Constantin
Crasmareanu, Mircea
Munteanu, Marian Ioan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (01) : 400 - 407
[47] The generalized Ricci flow for three-dimensional manifolds with one Killing vector
Gegenberg, J
Kunstatter, G
JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (03)
[48] Almost *-η-Ricci soliton on three-dimensional trans-Sasakian manifolds
Pavithra, R. C.
Nagaraja, H. G.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (10)
[49] Three-Dimensional Almost Kenmotsu Manifolds Satisfying Certain Nullity Conditions
Saltarelli, Vincenzo
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (02) : 437 - 459
[50] *-Ricci Solitons on Three-dimensional Normal Almost Contact Metric Manifolds
Mandal, K.
Makhal, S.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (02) : 189 - 194

← 1 2 3 4 5 →