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Smooth actions of 
Author:
Sol Schwartzman
Journal:
Proc. Amer. Math. Soc. 134 (2006), 379-384
MSC (2000):
Primary 37A15, 37C40
Posted:
September 21, 2005
MathSciNet review:
2176005
Full-text PDF Free Access
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Abstract: Given a smooth action of  on a  -dimensional differentiable manifold  , for each  we associate with ``almost all" oriented orbits of dimension  an element of  .
References
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N. Dunford, and J. Schwartz, Linear Operators - Part 1, Interscience publishers, (1958). MR 0117523 (22:8302)
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J. Kelley, General Topology, D. Van Nostrand, (1955). MR 0070144 (16:1136c)
- 3.
J.C. Oxtoby, Ergodic Sets, Bull. Amer. Math. Soc., 58(1952), 116-136. MR 0047262 (13:850e)
- 4.
S. Schwartzman, Asymptotic Cycles, Annals of Mathematics, Vol.66 no. 2, (1957). MR 0088720 (19:568i)
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S. Schwartzman, Higher Dimensional Asymptotic Cycles, Canadian Journal of Mathematics, Volume 55(3), (2003), 636-648 MR 1980617 (2004d:57036)
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D. Sullivan, Cycles for the Dynamical Study of Foliated Manifolds and Complex Manifolds, Inventiones Mathematica, 36(1976), 225-255. MR 0433464 (55:6440)
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Additional Information
Sol Schwartzman
Affiliation:
Department of Mathematics, University of Rhode Island, Kingston, Rhode Island 02881
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08195-5
PII:
S 0002-9939(05)08195-5
Received by editor(s):
March 15, 2004
Posted:
September 21, 2005
Communicated by:
Michael Handel
Article copyright:
© Copyright 2005 American Mathematical Society
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