Denjoy-type flows on orientable $2$-manifolds of higher genus
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- by Carl S. Hartzman PDF
- Trans. Amer. Math. Soc. 186 (1973), 219-227 Request permission
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.References
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A. Denjoy, Sur les courbes définies par les équations differentielles à la surface du tore, J. Math. Pures Appl. (9) 11 (1932), 333-375.
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 186 (1973), 219-227
- MSC: Primary 58F20; Secondary 34C40
- DOI: https://doi.org/10.1090/S0002-9947-1973-0362405-5
- MathSciNet review: 0362405