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Basic forms for transversely integrable singular Riemannian foliations


Author: Robert A. Wolak
Journal: Proc. Amer. Math. Soc. 128 (2000), 1543-1545
MSC (1991): Primary 57R30
DOI: https://doi.org/10.1090/S0002-9939-99-05316-2
Published electronically: 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 [Enhancements On Off] (What's this?)

  • 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: https://doi.org/10.1090/S0002-9939-99-05316-2
Keywords: Singular Riemannian foliation, basic forms
Received by editor(s): July 1, 1998
Published electronically: October 6, 1999
Communicated by: Christopher Croke
Article copyright: © Copyright 2000 American Mathematical Society

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