Magnetic Jacobi Fields in 3-Dimensional Sasakian Space Forms

Magnetic Jacobi Fields in 3-Dimensional Sasakian Space Forms

Representative examples of uniform magnetic fields are furnished by Kähler magnetic fields. From this point of view, magnetic Jacobi fields on surfaces or Kähler manifolds were investigated by Adachi and Gouda. On the contrary, Sasakian manifolds have non-uniform magnetic fields. We obtain all magne...

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Veröffentlicht in:The Journal of Geometric Analysis 2022-03, Vol.32 (3), Article 96
Hauptverfasser: Inoguchi, Jun-ichi, Munteanu, Marian Ioan
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Magnetic fields
Mathematics
Mathematics and Statistics
Nonuniform magnetic fields
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Zusammenfassung:Representative examples of uniform magnetic fields are furnished by Kähler magnetic fields. From this point of view, magnetic Jacobi fields on surfaces or Kähler manifolds were investigated by Adachi and Gouda. On the contrary, Sasakian manifolds have non-uniform magnetic fields. We obtain all magnetic Jacobi fields along contact magnetic curves in 3-dimensional Sasakian space forms.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-021-00851-6