Orbit projections of proper Lie groupoids as fibrations
Czechoslovak Mathematical Journal (2009)
- Volume: 59, Issue: 3, page 591-594
- ISSN: 0011-4642
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topRainer, Armin. "Orbit projections of proper Lie groupoids as fibrations." Czechoslovak Mathematical Journal 59.3 (2009): 591-594. <http://eudml.org/doc/37944>.
@article{Rainer2009,
abstract = {Let $\mathcal \{G\} \rightrightarrows M$ be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection $M \rightarrow M/\mathcal \{G\}$ is a fibration if and only if $\mathcal \{G\}\rightrightarrows M$ is regular.},
author = {Rainer, Armin},
journal = {Czechoslovak Mathematical Journal},
keywords = {orbit projection; proper Lie groupoid; fibration; orbit projection; proper Lie groupoid; fibration},
language = {eng},
number = {3},
pages = {591-594},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Orbit projections of proper Lie groupoids as fibrations},
url = {http://eudml.org/doc/37944},
volume = {59},
year = {2009},
}
TY - JOUR
AU - Rainer, Armin
TI - Orbit projections of proper Lie groupoids as fibrations
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 591
EP - 594
AB - Let $\mathcal {G} \rightrightarrows M$ be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection $M \rightarrow M/\mathcal {G}$ is a fibration if and only if $\mathcal {G}\rightrightarrows M$ is regular.
LA - eng
KW - orbit projection; proper Lie groupoid; fibration; orbit projection; proper Lie groupoid; fibration
UR - http://eudml.org/doc/37944
ER -
References
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- Palais, R. S., 10.2307/1970335, Ann. of Math. 73 (1961), 295-323. (1961) Zbl0103.01802MR0126506DOI10.2307/1970335
- Rainer, A., Orbit projections as fibrations, (to appear) in Czech. Math. J., arXiv: math.DG/0610513. MR2532388
- Weinstein, A., Linearization of regular proper groupoids, J. Inst. Math. Jussieu 3 (2002), 493-511. (2002) Zbl1043.58009MR1956059
- Zung, N. T., 10.1016/j.ansens.2006.09.002, Ann. Sci. Éc. Norm. Supér. 39 (2006), 841-869. (2006) MR2292634DOI10.1016/j.ansens.2006.09.002
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