The set of vector fields with transverse foliations

Plácido ANDRADE

doi:10.2969/jmsj/04510021

Plácido ANDRADE

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ジャーナルフリー

1993 年 45 巻 1 号 p. 21-35

DOI https://doi.org/10.2969/jmsj/04510021

詳細

Published: 1993 Received: 1991/09/05 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : An1) P. Andrade, Fluxos que admitem folheações transversas, Thesis, PUC-Rio, Rio de Janeiro, Brasil, 1985.
An2) P. Andrade, On homology directions for flows, Japan. J. Math., 17 (1991).
As) D. Asimov, Flaccidity of geometric index for non-singular vector fields, Comment. Math. Helv., 52 (1977), 145-160.
B-W) J. Birman and R. F. Williams, Knotted periodic orbits in dynamical systems II: Knot holders for fibred knots, preprint.
Co) C. Conley, Isolated invariant sets and Morse index, CBMS Regional Conf. Ser. in Math., 38.
E-H-N) D. Eisenbud, U. Hirsch and W. Newmann, Transverse Foliation of Seifert bundles and self homeomorphism of the circle, Comment. Math. Helv., 56 (1981), 638-660.
En) C. J. Ennis, Sufficient conditions for smoothing codimension one foliation, Thesis, Univ. of California, Berkeley, 1980.
Fr) D. Fried, The geometry of cross sections to flows, Topology, 21 (1982), 353-372.
F-S) J. Franke and J. Selgrade, Hyperbolicity and chain recurrence, J. Differential Equations, 26 (1977), 27-36.
Go1) S. Goodman, Vector fields with transverse foliations, Topology, 24 (1985), 333-340.
Go2) S. Goodman, Vector fields with transverse foliations II, Ergodic Theory Dynamical Systems, 6 (1986), 193-203.
Mi) J. Milnor, On the existence of a connection with curvature zero, Comment. Math. Helv., 32 (1957-58), 215-223.
M-S) S. Matsumoto and A. Sato, Perturbations of the Hopf flow and transverse foliations, preprint, 1980.
No) S. P. Novikov, Topology of foliations, Trans. Moscow Math. Soc., 14 (1965), 248-278; Amer. Math. Soc. Transl., 1976, pp. 268-304.
N-S) Z. Nitecki and M. Schub, Filtration, decompositions and explosions, Amer. J. Math., 107 (1975), 1029.
O1) M. Oliveira, C⁰ density of structurally stable dynamical systems, Thesis, Univ. of Warwick, 1976 (revised 1979).
Sc) S. Schwartzman, Asymptotic cycles, Ann. of Math., 66 (1957), 270-283.
Ya) K. Yano, Non-singular Morse-Smale flows on 3-manifolds which admit transverse foliation, Adv. Stud. Pure Math., 5 (1985), 341-358.
Wo) J. W. Wood, Bundles with totally disconnected structure group, Comment. Math. Helv., 46 (1971), 257-273.

Right : [An1] P. Andrade, Fluxos que admitem folheações transversas, Thesis, PUC-Rio, Rio de Janeiro, Brasil, 1985.
[An2] P. Andrade, On homology directions for flows, Japan. J. Math., 17 (1991).
[As] D. Asimov, Flaccidity of geometric index for non-singular vector fields, Comment. Math. Helv., 52 (1977), 145-160.
[B-W] J. Birman and R. F. Williams, Knotted periodic orbits in dynamical systems II: Knot holders for fibred knots, preprint.
[Co] C. Conley, Isolated invariant sets and Morse index, CBMS Regional Conf. Ser. in Math., 38.
[E-H-N] D. Eisenbud, U. Hirsch and W. Newmann, Transverse Foliation of Seifert bundles and self homeomorphism of the circle, Comment. Math. Helv., 56 (1981), 638-660.
[En] C. J. Ennis, Sufficient conditions for smoothing codimension one foliation, Thesis, Univ. of California, Berkeley, 1980.
[Fr] D. Fried, The geometry of cross sections to flows, Topology, 21 (1982), 353-372.
[F-S] J. Franke and J. Selgrade, Hyperbolicity and chain recurrence, J. Differential Equations, 26 (1977), 27-36.
[Go1] S. Goodman, Vector fields with transverse foliations, Topology, 24 (1985), 333-340.
[Go2] S. Goodman, Vector fields with transverse foliations II, Ergodic Theory Dynamical Systems, 6 (1986), 193-203.
[Mi] J. Milnor, On the existence of a connection with curvature zero, Comment. Math. Helv., 32 (1957-58), 215-223.
[M-S] S. Matsumoto and A. Sato, Perturbations of the Hopf flow and transverse foliations, preprint, 1980.
[No] S. P. Novikov, Topology of foliations, Trans. Moscow Math. Soc., 14 (1965), 248-278; Amer. Math. Soc. Transl., 1976, pp. 268-304.
[N-S] Z. Nitecki and M. Schub, Filtration, decompositions and explosions, Amer. J. Math., 107 (1975), 1029.
[O1] M. Oliveira, C⁰ density of structurally stable dynamical systems, Thesis, Univ. of Warwick, 1976 (revised 1979).
[Sc] S. Schwartzman, Asymptotic cycles, Ann. of Math., 66 (1957), 270-283.
[Ya] K. Yano, Non-singular Morse-Smale flows on 3-manifolds which admit transverse foliation, Adv. Stud. Pure Math., 5 (1985), 341-358.
[Wo] J. W. Wood, Bundles with totally disconnected structure group, Comment. Math. Helv., 46 (1971), 257-273.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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