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- W2046720689 abstract "Let (M, g) be an n-dimensional (n ≥ 3) closed (compact and connected) Riemannian manifold. We obtain a necessary and sufficient condition for a projectively flat connection D with a Weyl structure (D, g, ω) in the tangent bundle TM over (M, g) to be a Yang-Mills connection. Moreover, we get the fact that the condition dω = 0 is a necessary and sufficient condition for the Ricci tensor RicD of a connection D with Weyl structure (D, g, ω) in the bundle TM over (M, g) to be symmetric, and then we get a necessary and sufficient condition for a projectively flat Einstein-Weyl connection D in the bundle TM over (M, g) to be a Yang-Mills connection." @default.
- W2046720689 created "2016-06-24" @default.
- W2046720689 creator A5025717217 @default.
- W2046720689 date "2009-01-01" @default.
- W2046720689 modified "2023-09-25" @default.
- W2046720689 title "PROJECTIVELY FLAT YANG-MILLS CONNECTIONS" @default.
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- W2046720689 doi "https://doi.org/10.2206/kyushujm.64.49" @default.
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