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- W4287905914 abstract "We treat the problem of defining, and characterising in a practical way, an appropriate class of distinguished curves for Poincar'e-Einstein manifolds, and other conformally singular geometries. These generalised geodesics agree with geodesics away from the conformal singularity set and are shown to satisfy natural boundary conditions at points where they meet or cross the metric singularity set. We also characterise when they coincide with conformal circles. In the case of (Poincar'e-)Einstein manifolds, we are able to provide a very general theory of first integrals for these distinguished curves. As well as the general procedure outlined, a specific example is given." @default.
- W4287905914 created "2022-07-26" @default.
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- W4287905914 date "2020-01-08" @default.
- W4287905914 modified "2023-09-23" @default.
- W4287905914 title "Distinguished curves and first integrals on Poincar'e-Einstein and other conformally singular geometries" @default.
- W4287905914 doi "https://doi.org/10.48550/arxiv.2001.02778" @default.
- W4287905914 hasPublicationYear "2020" @default.
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