Abstract.
In this paper we study (smooth and holomorphic) foliations which are invariant under transverse actions of Lie groups.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
W Barth C Peters A Van de Ven (1984) Compact complex surfaces Springer Berlin Heidelberg New York Occurrence Handle0718.14023
C Godbillon (1991) Feuilletages: Études Geométriques Birkhäuser Basel Occurrence Handle0724.58002
P Griffiths J Harris (1978) Principles of Algebraic Geometry Wiley-Interscience New York Occurrence Handle0408.14001
RC Gunning (1990) Introduction to Holomorphic Functions of Several Variables, vol. I, Function Theory Wadsworth and Brooks/Cole Pacific Grove, CA
RC Gunning (1990) Introduction to Holomorphic Functions of Several Variables, vol. II, Local theory Wadsworth and Brooks/Cole Monterey, CA
FW Kamber PW Michor (2004) ArticleTitleCompleting Lie algebra actions to Lie group actions Electron Res Announc Amer Math Soc 10 1–10 Occurrence Handle1066.22021 Occurrence Handle10.1090/S1079-6762-04-00124-6 Occurrence Handle2048426
G Meigniez (1997) Holonomy groups of solvable Lie foliations C Albert (Eds) et al. Integrable Systems and Foliations. Feuilletages et systémes intégrables (Montpellier, 1995) Birkhäuser Boston 107–146
RS Mol (2002) ArticleTitleMeromorphic first integrals: some extension results Tohoku Math J 54 85–104 Occurrence Handle1009.32020 Occurrence Handle10.2748/tmj/1113247181 Occurrence Handle1878929
R Palais (1961) ArticleTitleOn the existence of slices for actions of non-compact Lie groups Ann Math 73 295–323 Occurrence Handle10.2307/1970335 Occurrence Handle126506
JJ Duistermaat JAC Kolk (1999) Lie Groups Springer Berlin Heidelberg New York
B Scárdua (2003) ArticleTitleHolomorphic Anosov systems, foliations and fiberings of complex manifolds Dyn Syst 18 365–389 Occurrence Handle1059.37035 Occurrence Handle2021505 Occurrence Handle10.1080/14689360310001613620
NS Steenrod (1951) The Topology of Fiber Bundles Univ Press Princeton
D Tischler (1970) ArticleTitleOn fibering certain foliated manifolds over S 1 Topology 9 153–154 Occurrence Handle0177.52103 Occurrence Handle10.1016/0040-9383(70)90037-6 Occurrence Handle256413
VS Varadarajan (1974) Lie Groups, Lie Algebras, and their Representations Prentice-Hall Englewood Cliffs, NJ Occurrence Handle0371.22001
Author information
Authors and Affiliations
Additional information
Authors’ address: Alexandre Behague and Bruno Scárdua, Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, 21945-970 Rio de Janeiro, RJ, Brazil
Rights and permissions
About this article
Cite this article
Behague, A., Scárdua, B. Foliations invariant under Lie group transverse actions. Monatsh Math 153, 295–308 (2008). https://doi.org/10.1007/s00605-008-0523-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00605-008-0523-7