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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Extensions of minimal flows on manifolds


Author: William Perrizo
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0425933-8
Keywords: Minimal, transitive, almost periodic, vector field flow, $ G$-lift, fiber bundle, Lie group
Article copyright: © Copyright 1976 American Mathematical Society