Measured foliations on nonorientable surfaces

Claude Danthony; Arnaldo Nogueira

Annales scientifiques de l'École Normale Supérieure (1990)

  • Volume: 23, Issue: 3, page 469-494
  • ISSN: 0012-9593

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Danthony, Claude, and Nogueira, Arnaldo. "Measured foliations on nonorientable surfaces." Annales scientifiques de l'École Normale Supérieure 23.3 (1990): 469-494. <http://eudml.org/doc/82277>.

@article{Danthony1990,
author = {Danthony, Claude, Nogueira, Arnaldo},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {ergodicity; singularities; nonorientable closed surface; Euler characteristic; measured foliations; compact leaf},
language = {eng},
number = {3},
pages = {469-494},
publisher = {Elsevier},
title = {Measured foliations on nonorientable surfaces},
url = {http://eudml.org/doc/82277},
volume = {23},
year = {1990},
}

TY - JOUR
AU - Danthony, Claude
AU - Nogueira, Arnaldo
TI - Measured foliations on nonorientable surfaces
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1990
PB - Elsevier
VL - 23
IS - 3
SP - 469
EP - 494
LA - eng
KW - ergodicity; singularities; nonorientable closed surface; Euler characteristic; measured foliations; compact leaf
UR - http://eudml.org/doc/82277
ER -

References

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  1. [AY] P. ARNOUX et J. C. YOCCOZ, Construction de difféomorphismes pseudo-Anosov (C. R. Acad. Sci. Paris, 292, 1981, pp. 75-78). Zbl0478.58023MR82b:57018
  2. [D] C. DANTHONY, Feuilletages orientés des surfaces : le problème de la section globale (Ann. de l'Inst. Fourier, Vol. 38, No. 2, 1988, pp. 201-227). Zbl0635.57016MR89g:57038
  3. [DN] C. DANTHONY et A. NOGUEIRA, Involutions linéaires et feuilletages mesurés (C. R. Acad. Sci. Paris, 307, série I, 1988, pp. 409-412). Zbl0672.57016MR89k:57020
  4. [FLP] A. FATHI, F. LAUDENBACH et V. POENARU, Travaux de Thurston sur les surfaces (Astérisque, n° 66-67, 1979). MR82m:57003
  5. [G] C. GUTIERREZ, Smooth Nonorientable Nontrivial Recurrence on Two-Manifolds (Jr. of Diff. Eq., Vol. 29, No. 3, 1978, pp. 388-395). Zbl0413.58018MR80d:58059
  6. [Ka] M. KEANE, Interval Exchange Transformations (Math. Zeit., Vol. 141, 1975, pp. 25-31). Zbl0278.28010MR50 #10207
  7. [Ke] S. KERCKHOFF, Simplicial Systems for Interval Exchange Maps and Measured Foliations (Ergod. Th. & Dyn. Systems, Vol. 5, 1985, pp. 257-271). Zbl0597.58024MR87g:58075
  8. [M] H. MASUR, Interval Exchange Transformations and Measured Foliations (Ann. of Math., Vol. 115, 1982, pp. 169-200). Zbl0497.28012MR83e:28012
  9. [N 1] A. NOGUEIRA, Nonorientable Recurrence of Flows and Interval Exchange Transformations (Jr. of Diff. Eq., Vol. 70, No. 2, 1987, pp. 153-166). Zbl0643.58003MR89a:58096
  10. [N 2] A. NOGUEIRA, Almost all Interval Exchange Transformations with Flips are Nonergodic (Ergod. Th. & Dyn. Systems, Vol. 9, No. 3, 1989, pp. 515-525). Zbl0697.58027MR91d:28035
  11. [R] R. RAUZY, Echanges d'intervalles et transformations induites (Acta Arith., Vol. 34, 1979, pp. 315-328). Zbl0414.28018MR82m:10076
  12. [S] M. SCHARLEMANN, The Complex of Curves on Nonorientable Surfaces (Jr. of the London Math. Soc., Série II, Vol. 25, 1982, pp. 171-184). Zbl0479.57005MR83m:57021
  13. [T 1] W. THURSTON, On the Geometry and Dynamics of Diffeomorphisms of Surfaces I, preprint, Princeton University, 1975. 
  14. [T 2] W. THURSTON, Geometry and Topology of 3-Manifolds, notes, Princeton University. 
  15. [V 1] W. VEECH, Interval Exchange Transformations (Jr. d'Analyse Math., Vol. 33, 1978, pp. 222-278). Zbl0455.28006MR80e:28034
  16. [V 2] W. VEECH, Gauss Measure for Transformations on the Space of Interval Exchange Maps (Ann. of Math., Vol. 115, 1982, pp. 201-242). Zbl0486.28014MR83g:28036b

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