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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The classifying Lie algebroid of a geometric structure I: Classes of coframes


Authors: Rui Loja Fernandes and Ivan Struchiner
Journal: Trans. Amer. Math. Soc. 366 (2014), 2419-2462
MSC (2010): Primary 53C10; Secondary 53A55, 58D27, 58H05
Published electronically: January 15, 2014
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Abstract: We present a systematic study of symmetries, invariants and moduli spaces of classes of coframes. We introduce a classifying Lie algebroid to give a complete description of the solution to Cartan's realization problem that applies to both the local and the global versions of this problem.


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Additional Information

Rui Loja Fernandes
Affiliation: Departamento de Matemática, Instituto Superior Técnico, 1049-001, Lisbon, Portugal
Address at time of publication: Department of Mathematics, The University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
Email: ruiloja@illinois.edu

Ivan Struchiner
Affiliation: Departamento de Matemática, Universidade de São Paulo, Rua do Matão 1010, São Paulo – SP, Brasil, CEP: 05508-090
Email: ivanstru@ime.usp.br

DOI: http://dx.doi.org/10.1090/S0002-9947-2014-05973-4
PII: S 0002-9947(2014)05973-4
Received by editor(s): March 30, 2011
Received by editor(s) in revised form: June 14, 2012
Published electronically: January 15, 2014
Additional Notes: The first author was partially supported by NSF grant 1308472 and by FCT through the Program POCI 2010/FEDER and by projects PTDC/MAT/098936/2008 and PTDC/MAT/117762/2010. The second author was partially supported by FAPESP 03/13114-2, CAPES BEX3035/05-0 and by NWO
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.