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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Denjoy-type flows on orientable $ 2$-manifolds of higher genus


Author: Carl S. Hartzman
Journal: Trans. Amer. Math. Soc. 186 (1973), 219-227
MSC: Primary 58F20; Secondary 34C40
MathSciNet review: 0362405
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Abstract: The author generalizes A. Denjoy's theory of flows on a torus to compact orientable 2-manifolds of higher genus. Natural extensions of A. Denjoy's hypotheses are made and necessary conditions that a flow satisfy the new hypotheses are given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0362405-5
PII: S 0002-9947(1973)0362405-5
Keywords: Flows, 2-manifolds
Article copyright: © Copyright 1973 American Mathematical Society