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Basic forms for transversely integrable singular Riemannian foliations
Author(s):
Robert
A.
Wolak
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1543-1545.
MSC (1991):
Primary 57R30
Posted:
October 6, 1999
MathSciNet review:
1662230
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Abstract:
Basic forms for a transversely integrable singular Riemannian foliation with compact leaves are in one-to-one correspondence with ``Weyl"-invariant differential forms on a generalized section of the foliation.
References:
- 1.
- R. A. Blumenthal, J. Hebda, De Rham decomposition theorem for foliated manifolds, Ann. Inst. Fourier 33(2) (1983), 183-198. MR 84j:53042
- 2.
- H. Boualem, Feuilletages riemanniens singuliers transversalement integrables, Comp. Math. 95 (1995), 101-125. MR 96e:53035
- 3.
- P. Michor, Basic differential forms for actions of Lie groups, Proc AMS, 124,3 (1996), 1633-1642. MR 96g:57041
- 4.
- P. Michor, Basic differential forms for actions of Lie groups II, Proc AMS 125,7 (1997), 2175-2177. MR 97k:57046
- 5.
- P. Molino, Riemannian Foliations, Progress in Math. 73, Birkhauser (1988). MR 89b:53054
- 6.
- P. Molino, Orbit-like foliations, Proceedings of Geometric Study of Foliations, Tokyo 1993, World Scientific (1994), 97-119. MR 97e:57030
- 7.
- R. S. Palais, C. L. Terng, Critical Point Theory and Submanifold Geometry, Springer LN in Math. 1353, Springer 1988. MR 90c:53143
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Additional Information:
Robert
A.
Wolak
Affiliation:
Instytut Matematyki, Uniwersytet Jagiellonski, Wl. Reymonta 4, 30-059 Krakow, Poland and Wydzial Matematyki Stosowanej Akademia Gorniczo--Hutnicza, al. A. Mickiewicza, 30 Krakow, Poland
Email:
wolak@im.uj.edu.pl
DOI:
10.1090/S0002-9939-99-05316-2
PII:
S 0002-9939(99)05316-2
Keywords:
Singular Riemannian foliation,
basic forms
Received by editor(s):
July 1, 1998
Posted:
October 6, 1999
Communicated by:
Christopher Croke
Copyright of article:
Copyright
2000,
American Mathematical Society
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