Magnetic Jacobi fields in Sasakian space forms

DOI10.1007/s00009-022-02230-zOpenAlexW4311038785MaRDI QIDQ2112032

Marian Ioan Munteanu, Jun-Ichi Inoguchi

Publication date: 17 January 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02230-z

zbMATH Keywords

magnetic fieldJacobi fieldsSasakian manifoldquasi-Sasakian manifold

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

• Sasakian metric as a Ricci soliton and related results
• Jacobi vector fields and the volume of tubes about curves in Sasakian space forms
• Geometry and symmetry on Sasakian manifolds
• The theorem of E. Hopf under uniform magnetic fields
• Magnetic flows of Anosov type
• Ricci almost solitons and contact geometry
• Magnetic Jacobi fields in 3-dimensional Sasakian space forms
• Periodic magnetic curves in Berger spheres
• The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
• The contact magnetic flow in 3D Sasakian manifolds
• Geodesic spheres and Jacobi vector fields on Sasakian space forms
• A comparison theorem on magnetic jacobi fields
• Slant Curves and Magnetic Curves
• Magnetic curves in Sasakian manifolds
• Riemannian geometry of contact and symplectic manifolds
• MAGNETIC CURVES IN QUASI-SASAKIAN MANIFOLDS OF PRODUCT TYPE
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