dc.contributor.author |
Blaom, Anthony D |
|
dc.date.accessioned |
2021-07-19T01:17:55Z |
|
dc.date.available |
2021-07-19T01:17:55Z |
|
dc.date.issued |
2018-6-18 |
|
dc.identifier.citation |
Symmetry Integrability and Geometry Methods and Applications 14:062 18 Jun 2018 |
|
dc.identifier.issn |
2502-0919 |
|
dc.identifier.uri |
https://hdl.handle.net/2292/55601 |
|
dc.description.abstract |
We investigate the infinitesimal invariants of an immersed submanifold Σ of a Klein geometry M ≅ G/H, and in particular an invariant filtration of Lie algebroids over Σ. The invariants are derived from the logarithmic derivative of the immersion of Σ into M, a complete invariant introduced in the companion article, A characterization of smooth maps into a homogeneous space. Applications of the Lie algebroid approach to subgeometry include a new interpretation of Cartan's method of moving frames and a novel proof of the fundamental theorem of hypersurfaces in Euclidean, elliptic and hyperbolic geometry. |
|
dc.language |
English |
|
dc.publisher |
SIGMA (Symmetry, Integrability and Geometry: Methods and Application) |
|
dc.relation.ispartofseries |
Symmetry Integrability and Geometry Methods and Applications |
|
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 |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-sa/4.0/ |
|
dc.subject |
Science & Technology |
|
dc.subject |
Physical Sciences |
|
dc.subject |
Physics, Mathematical |
|
dc.subject |
Physics |
|
dc.subject |
subgeometry |
|
dc.subject |
Lie algebroids |
|
dc.subject |
Cartan geometry |
|
dc.subject |
Klein geometry |
|
dc.subject |
differential invariants |
|
dc.subject |
MOVING COFRAMES |
|
dc.subject |
GEOMETRIES |
|
dc.subject |
math.DG |
|
dc.subject |
math.DG |
|
dc.subject |
0101 Pure Mathematics |
|
dc.subject |
0102 Applied Mathematics |
|
dc.subject |
0105 Mathematical Physics |
|
dc.title |
Lie Algebroid Invariants for Subgeometry |
|
dc.type |
Journal Article |
|
dc.identifier.doi |
10.3842/sigma.2018.062 |
|
pubs.volume |
14 |
|
dc.date.updated |
2021-06-08T23:00:26Z |
|
dc.rights.holder |
Copyright: The author |
en |
pubs.author-url |
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000436445800001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e41486220adb198d0efde5a3b153e7d |
|
pubs.publication-status |
Published online |
|
dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
en |
pubs.subtype |
Article |
|
pubs.subtype |
Journal |
|
pubs.elements-id |
801674 |
|
dc.identifier.eissn |
1815-0659 |
|
pubs.number |
ARTN 062 |
|
pubs.online-publication-date |
2018-6-18 |
|