dc.contributor.author |
Gover, Ashwin |
en |
dc.contributor.author |
Snell, Daniel |
en |
dc.date.accessioned |
2020-01-30T00:29:14Z |
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dc.date.issued |
2020-01-08 |
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dc.identifier.citation |
08 Jan 2020. Arxiv. 15 pages |
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dc.identifier.uri |
http://hdl.handle.net/2292/49702 |
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dc.description.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. |
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dc.publisher |
Arxiv |
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dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
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dc.rights.uri |
https://arxiv.org/licenses/nonexclusive-distrib/1.0/license.html |
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dc.subject |
math.DG |
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dc.subject |
math.DG |
en |
dc.subject |
gr-qc |
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dc.subject |
math-ph |
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dc.subject |
math.MP |
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dc.title |
Distinguished curves and first integrals on Poincaré-Einstein and other conformally singular geometries |
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dc.type |
Report |
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dc.rights.holder |
Copyright: The authors |
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pubs.author-url |
http://arxiv.org/abs/2001.02778v1 |
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dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
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pubs.subtype |
Working Paper |
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pubs.elements-id |
792507 |
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pubs.org-id |
Science |
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pubs.org-id |
Mathematics |
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pubs.arxiv-id |
2001.02778 |
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pubs.number |
2001.02778v1 |
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pubs.record-created-at-source-date |
2020-01-30 |
en |