Extensions of minimal flows on manifolds
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- by William Perrizo
- Proc. Amer. Math. Soc. 59 (1976), 383-388
- DOI: https://doi.org/10.1090/S0002-9939-1976-0425933-8
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Abstract:
Group extensions of vector field flows for which the orbit closure map forms a fiber bundle are constructed for the case of minimal flows on compact manifolds and compact Lie groups. Conditions for which minimal nontoral extensions exist are studied.References
- Robert Ellis, Lectures on topological dynamics, W. A. Benjamin, Inc., New York, 1969. MR 0267561
- A. M. Gleason, Spaces with a compact Lie group of transformations, Proc. Amer. Math. Soc. 1 (1950), 35–43. MR 33830, DOI 10.1090/S0002-9939-1950-0033830-7
- Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258
- Walter Helbig Gottschalk and Gustav Arnold Hedlund, Topological dynamics, American Mathematical Society Colloquium Publications, Vol. 36, American Mathematical Society, Providence, R.I., 1955. MR 0074810
- Robert Ellis, The construction of minimal discrete flows, Amer. J. Math. 87 (1965), 564–574. MR 185589, DOI 10.2307/2373063
- Nelson G. Markley, Lifting dynamical properties, Math. Systems Theory 5 (1971), 299–305. MR 305384, DOI 10.1007/BF01694074
- Nelson G. Markley, The Poincaré-Bendixson theorem for the Klein bottle, Trans. Amer. Math. Soc. 135 (1969), 159–165. MR 234442, DOI 10.1090/S0002-9947-1969-0234442-1
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 383-388
- MSC: Primary 54H20; Secondary 58G99, 57D25
- DOI: https://doi.org/10.1090/S0002-9939-1976-0425933-8
- MathSciNet review: 0425933