A Characterisation of Smooth Maps into a Homogeneous Space

Blaom, Anthony D

dc.contributor.author	Blaom, Anthony D
dc.date.accessioned	2022-06-07T22:19:17Z
dc.date.available	2022-06-07T22:19:17Z
dc.date.issued	2022-04-09
dc.identifier.citation	(2022). Symmetry, Integrability and Geometry: Methods and Applications, 18, Article ARTN 029.
dc.identifier.issn	2502-0919
dc.identifier.uri	https://hdl.handle.net/2292/59573
dc.description.abstract	We generalize Cartan’s logarithmic derivative of a smooth map from a manifold into a Lie group G to smooth maps into a homogeneous space M = G/H, and determine the global monodromy obstruction to reconstructing such maps from infinitesimal data. The logarithmic derivative of the embedding of a submanifold Σ ⊂ M becomes an invariant of Σ under symmetries of the “Klein geometry” M whose analysis is taken up in [SIGMA 14 (2018), 062, 36 pages, arXiv:1703.03851].
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	homogeneous space
dc.subject	subgeometry
dc.subject	Lie algebroids
dc.subject	Cartan geometry
dc.subject	Klein geometry
dc.subject	logarithmic derivative
dc.subject	Darboux derivative
dc.subject	differential invariants
dc.subject	0101 Pure Mathematics
dc.subject	0102 Applied Mathematics
dc.subject	0105 Mathematical Physics
dc.title	A Characterisation of Smooth Maps into a Homogeneous Space
dc.type	Journal Article
dc.identifier.doi	10.3842/sigma.2022.029
pubs.volume	18
dc.date.updated	2022-05-29T21:57:16Z
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:000786610900001&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	898856
pubs.org-id	Science
pubs.org-id	School of Computer Science
dc.identifier.eissn	1815-0659
pubs.number	ARTN 029
pubs.record-created-at-source-date	2022-05-30
pubs.online-publication-date	2022-04-09