Expansion growth of foliations

Shinji Egashira

Annales de la Faculté des sciences de Toulouse : Mathématiques (1993)

  • Volume: 2, Issue: 1, page 15-52
  • ISSN: 0240-2963

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Egashira, Shinji. "Expansion growth of foliations." Annales de la Faculté des sciences de Toulouse : Mathématiques 2.1 (1993): 15-52. <http://eudml.org/doc/73311>.

@article{Egashira1993,
author = {Egashira, Shinji},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {exponential growth; entropy of a foliation; growth; polynomial growth; quasi-exponential growth},
language = {eng},
number = {1},
pages = {15-52},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Expansion growth of foliations},
url = {http://eudml.org/doc/73311},
volume = {2},
year = {1993},
}

TY - JOUR
AU - Egashira, Shinji
TI - Expansion growth of foliations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1993
PB - UNIVERSITE PAUL SABATIER
VL - 2
IS - 1
SP - 15
EP - 52
LA - eng
KW - exponential growth; entropy of a foliation; growth; polynomial growth; quasi-exponential growth
UR - http://eudml.org/doc/73311
ER -

References

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  1. [B] Bowen ( R.). — Entropy for group endomorphisms and homogeneous spaces, Trans. Amer. Math. Soc.153 (1971), pp. 401-414. Zbl0212.29201MR274707
  2. [CC] Cantwell ( J.) and Conlon ( L.). — Poincaré-Bendixson theory for leaves of codimension one, Trans. Amer. Math. Soc.265 (1981), pp. 181-209. Zbl0484.57015MR607116
  3. [D] Dippolito ( P.R.) . — Codimension one foliations of closed manifolds, Ann. of Math.107 (1978), pp. 403-453. Zbl0418.57012MR515731
  4. [GLW] Ghys ( E.), Langevin ( R.) and Walczak ( P.) .— Entropie geometrique des feuilletages, Acta. Math.168 (1988), pp.105-142. Zbl0666.57021MR926526
  5. [HH1] Hector ( G.) and Hirsch ( U.) .— Introduction to the geometry of foliations, Part A, Vieweg (1981). Zbl0486.57002MR639738
  6. [HH2] Hector ( G.) and Hirsch ( U.) .— Introduction to the geometry of foliations, Part B, Vieweg (1983). Zbl0552.57001MR726931
  7. [H] Hurder ( S.) . — Ergodic theory of foliations and a theorem of Sacksteder, SpringerLecture Notes in Mathematics1342 (1988), pp. 291-328. Zbl0676.58040MR970562
  8. [I] Imanishi ( H.) . — Denjoy-Siegel theory of codimension one foliations, Sûgaku32 (1980), pp. 119-132 (in Japanese). MR614565
  9. [J] Januszkiewicz ( T.) . — Characteristic invariants of non-compact Riemannian manifolds, Topology23 (1984), pp. 289-301. Zbl0594.57011MR770565
  10. [T] Tsuchiya ( N.) . — Lower semi-continuity of growth of leaves, J. Fac. Sci. Univ. Tokyo. Sec. IA26 (1979), pp. 465-471. Zbl0448.57008MR560008
  11. [W] Walters ( P.) . — An introduction to ergodic theory, Graduate Texts in Mathematics, Springer Verlag (1982). Zbl0475.28009MR648108

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