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- W4365211690 abstract "We study the deformation theory of Einstein-Yang-Mills fields over conformally compact, asymptotically locally hyperbolic manifolds. We prove that if an Einstein-Yang-Mills field $(g_0,omega_0)$ is trivial (which means that $g_0$ is Poincar'e-Einstein and $omega_0$ is a flat connection on a principal bundle over the underlying manifold) and non-degenerate in the appropriate sense then any sufficiently small perturbation of its boundary data at infinity may be realized as the boundary data of some Einstein-Yang-Mills field. This result is obtained as an application of the $0$-calculus of Mazzeo and Melrose and may be viewed as a natural extension of previous results by Graham-Lee, Lee and Usula." @default.
- W4365211690 created "2023-04-13" @default.
- W4365211690 creator A5049986265 @default.
- W4365211690 date "2023-04-11" @default.
- W4365211690 modified "2023-09-28" @default.
- W4365211690 title "Einstein-Yang-Mills fields in conformally compact manifolds" @default.
- W4365211690 doi "https://doi.org/10.48550/arxiv.2304.05373" @default.
- W4365211690 hasPublicationYear "2023" @default.
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