Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
A flow of an open manifold is very complicated even if its orbit space is Hausdorff. In this paper, we define the strongly Hausdorff flows and consider their dynamical properties in terms of the orbit spaces. By making use of this characterization, we finally classify all the strongly Hausdorff $C^1$-flows.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
167-170
Opis fizyczny
Daty
wydano
1996
otrzymano
1995-02-25
poprawiono
1995-10-20
Twórcy
autor
- Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima, 739, Japan
Bibliografia
- [1] D. B. A. Epstein, Foliations with all leaves compact, Ann. Inst. Fourier (Grenoble) 26 (1) (1976), 265-282.
- [2] M. C. Irwin, Smooth Dynamical Systems, Academic Press, London, 1980.
- [3] H. Nakayama, Some remarks on non-Hausdorff sets for flows, in: Geometric Study of Foliations, World Scientific, Singapore, 1994, 425-429.
- [4] E. Vogt, A foliation of $ℝ^3$ and other punctured 3-manifolds by circles, I.H.E.S. Publ. Math. 69 (1989), 215-232.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-fmv149i2p167bwm