dc.contributor.author |
Blaom, Anthony D |
|
dc.date.accessioned |
2021-07-21T21:23:38Z |
|
dc.date.available |
2021-07-21T21:23:38Z |
|
dc.date.issued |
2012-2-3 |
|
dc.identifier.citation |
Transactions of the American Mathematical Society 364(6):3071-3135 03 Feb 2012 |
|
dc.identifier.issn |
0002-9947 |
|
dc.identifier.uri |
https://hdl.handle.net/2292/55662 |
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dc.description.abstract |
Élie Cartan's general equivalence problem is recast in the language of Lie algebroids. The resulting formalism, being coordinate and model-free, allows for a full geometric interpretation of Cartan's method of equivalence via reduction and prolongation. We show how to construct certain normal forms (Cartan algebroids) for objects of finite-type, and are able to interpret these directly as 'infinitesimal symmetries deformed by curvature'. Details are developed for transitive structures, but rudiments of the theory include intransitive structures (intransitive symmetry deformations). Detailed illustrations include subriemannian contact structures and conformal geometry. © 2012 American Mathematical Society. |
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dc.language |
en |
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dc.publisher |
American Mathematical Society (AMS) |
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dc.relation.ispartofseries |
Transactions of the American Mathematical Society |
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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. |
|
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
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dc.subject |
Science & Technology |
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dc.subject |
Physical Sciences |
|
dc.subject |
Mathematics |
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dc.subject |
Lie algebroid |
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dc.subject |
Cartan algebroid |
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dc.subject |
equivalence |
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dc.subject |
geometric structure |
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dc.subject |
Cartan geometry |
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dc.subject |
Caftan connection |
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dc.subject |
deformation |
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dc.subject |
differential invariant |
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dc.subject |
pseudogroup |
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dc.subject |
connection theory |
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dc.subject |
G-structure |
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dc.subject |
conformal |
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dc.subject |
prolongation |
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dc.subject |
reduction |
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dc.subject |
subriernannian |
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dc.subject |
math.DG |
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dc.subject |
math.DG |
|
dc.subject |
math.SG |
|
dc.subject |
53C15, 58H15 (Primary) 53B15, 53C07, 53C05, 58H05, 53A55, 53A30,
58A15 (Secondary) |
|
dc.subject |
0101 Pure Mathematics |
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dc.subject |
0102 Applied Mathematics |
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dc.title |
Lie algebroids and Cartan’s method of equivalence |
|
dc.type |
Journal Article |
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dc.identifier.doi |
10.1090/s0002-9947-2012-05441-9 |
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pubs.issue |
6 |
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pubs.begin-page |
3071 |
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pubs.volume |
364 |
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dc.date.updated |
2021-06-08T23:07:29Z |
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dc.rights.holder |
Copyright: 2012 American Mathematical Society |
en |
pubs.author-url |
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000303972200011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e41486220adb198d0efde5a3b153e7d |
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pubs.end-page |
3135 |
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pubs.publication-status |
Published |
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dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
|
pubs.subtype |
Journal |
|
pubs.elements-id |
359022 |
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dc.identifier.eissn |
1088-6850 |
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pubs.number |
PII S0002-9947(2012)05441-9 |
|