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- W2890594972 abstract "Let (Mˆ,g) be a compact, oriented Riemannian three-manifold corresponding to the metric point-completion M∪{P0} of a manifold M, and let ξ denote a geodesible Killing unit vector field on Mˆ such that the Ricci curvature function Ricg(ξ)>0 everywhere, and is constant outside a compact subset K⊂⊂M. Suppose further that (E,∇,φ) supply the essential data of a monopole field on M, smooth outside isolated singularities all contained in K. The main theorem of this article provides a sufficient condition for smooth extension of (E,∇,φ) across P0, in terms of the Higgs potential Φ, defined in a punctured neighbourhood of P0 by ∇ξΦ−2i[φ,Φ]=φ.The sufficiency condition is expressed by a system of equations on the same neighbourhood, which can be effectively simplified in the case that Mˆ is a regular Sasaki manifold, such as the round S3." @default.
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- W2890594972 date "2019-05-01" @default.
- W2890594972 modified "2023-09-26" @default.
- W2890594972 title "Ricci-positive geodesic flows and point-completion of static monopole fields" @default.
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- W2890594972 doi "https://doi.org/10.1016/j.geomphys.2019.01.003" @default.
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