The theorem of E. Hopf under uniform magnetic fields

DOI10.2969/JMSJ/05030767zbMath0914.53023OpenAlexW2004317131MaRDI QIDQ1277295

Norio Gouda

Publication date: 7 April 1999

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05030767

zbMATH Keywords

magnetic fieldexponential mapJacobi fieldcomplete Riemannian manifoldtotal curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Electromagnetic theory (general) (78A25)

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Killing submersions and magnetic curves ⋮ Assurance of dynamic adaptation in distributed systems ⋮ Concurrent maintenance of rings ⋮ A theorem of Hadamard-Cartan type for Kähler magnetic fields ⋮ Maintaining the Ranch topology ⋮ Kähler magnetic flows for a product of complex space forms ⋮ Magnetic curves in Sol₃ ⋮ Volumes of trajectory-balls for Kähler magnetic fields ⋮ Magnetic Jacobi fields in 3-dimensional Sasakian space forms ⋮ A comparison theorem on crescents for Kähler magnetic fields ⋮ The Gauss-Landau-Hall problem on Riemannian surfaces ⋮ Magnetic Jacobi fields in Sasakian space forms

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