Dirac and Yang Monopoles Revisited

Abstract

The Dirac monopoles in 3-space and their generalization by C. N. Yang to 5-space are observed to be just the Levi-Civita spin connection of the cylindrical Riemannian metric on the 3- and 5- dimensional punctured spaces. Their straightforward generalization to higher dimensions is also investigated.

6 pages, a reference is added

References in corpus (2)

• The MICZ-Kepler Problems in All Dimensions
• Generalized Dirac monopoles in non-Abelian Kaluza-Klein theories

Cited by in corpus (11)

• The MICZ-Kepler Problems in All Dimensions
• Generalized MICZ-Kepler Problems and Unitary Highest Weight Modules -- II
• Generalized MICZ-Kepler Problems and Unitary Highest Weight Modules
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• On the Orbits of the Magnetized Kepler Problems in Dimension 2k+1
• Magnetic and Electric Black Holes in Arbitrary Dimension
• Particle Motion in Monopoles and Geodesics on Cones
• Monopoles in arbitrary dimension
• A characterization of the unitary highest weight modules by Euclidean Jordan algebras
• Particle Motion in Generalized Dirac's Monopoles of dimension 2k+1
• On the non-Abelian monopoles on the background of spaces with constant curvature