Minimal sets of foliations on complex projective spaces

Cesar Camacho; Alcides Lins Neto; Paulo Sad

Publications Mathématiques de l'IHÉS (1988)

  • Volume: 68, page 187-203
  • ISSN: 0073-8301

How to cite

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Camacho, Cesar, Lins Neto, Alcides, and Sad, Paulo. "Minimal sets of foliations on complex projective spaces." Publications Mathématiques de l'IHÉS 68 (1988): 187-203. <http://eudml.org/doc/104038>.

@article{Camacho1988,
author = {Camacho, Cesar, Lins Neto, Alcides, Sad, Paulo},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {holomorphic foliation; foliation with singularities of ; polynomial differential equation; nontrivial minimal set; leaves; exponential growth; hyperbolic Riemannian surfaces; parabolic ends},
language = {eng},
pages = {187-203},
publisher = {Institut des Hautes Études Scientifiques},
title = {Minimal sets of foliations on complex projective spaces},
url = {http://eudml.org/doc/104038},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Camacho, Cesar
AU - Lins Neto, Alcides
AU - Sad, Paulo
TI - Minimal sets of foliations on complex projective spaces
JO - Publications Mathématiques de l'IHÉS
PY - 1988
PB - Institut des Hautes Études Scientifiques
VL - 68
SP - 187
EP - 203
LA - eng
KW - holomorphic foliation; foliation with singularities of ; polynomial differential equation; nontrivial minimal set; leaves; exponential growth; hyperbolic Riemannian surfaces; parabolic ends
UR - http://eudml.org/doc/104038
ER -

References

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  1. [1] J. BLAND and M. KALKA, Complete metrics conformal to the hyperbolic disc, Proc. A.M.S., 97 (1986), 128-132. Zbl0592.53029MR87f:53013
  2. [2] C. CAMACHO and P. SAD, Invariant varieties through singularities of holomorphic vector fields, Ann. of Math. 115 (1982), 579-595. Zbl0503.32007MR83m:58062
  3. [3] J.-P. JOUANOLOU, Equations de Pfaff algébriques, Lect. Notes in Math., n° 708 (1977). Zbl0477.58002MR81k:14008
  4. [4] S. KOBAYASHI, Hyperbolic manifolds and holomorphic mappings, Ed. Marcel Dekker (1970). Zbl0207.37902MR43 #3503
  5. [5] A. LINS NETO, Algebraic solutions of polynomial differential equations and foliations in dimension two, in Holomorphic dynamics, Springer, Lect. Notes in Math., 1345 (1988), 192-232. Zbl0677.58036MR90c:58142
  6. [6] R. MOUSSU and F. PELLETIER, Sur le théorème de Poincaré-Bendixson, Ann. de l'Inst. Fourier, 24 (1974), 131-148. Zbl0273.57008MR50 #11266
  7. [7] J. PLANTE, Foliations with measure preserving holonomy, Ann. of Math., 102 (1976), 327-361. Zbl0314.57018MR52 #11947
  8. [8] A. VERJOVSKY, A Uniformization Theorem for Holomorphic Foliations, Contemporary Mathematics, 58, III (1987), 233-253. Zbl0619.32017MR88h:57027
  9. [9] Yu BURAGO and V. A. ZALGALLER, Geometric Inequalities, Springer Verlag, 1988. Zbl0633.53002

Citations in EuDML Documents

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  1. Marco Brunella, Foliations on the complex projective plane with many parabolic leaves
  2. Alberto Candel, X. Gómez-Mont, Uniformization of the leaves of a rational vector field
  3. Dominique Cerveau, Minimaux des feuilletages algébriques de ℂ 𝔻 ( n )
  4. C. Bonatti, R. Langevin, R. Moussu, Feuilletages de 𝐂𝐏 ( n ) : de l’holonomie hyperbolique pour les minimaux exceptionnels
  5. Alcides Lins Neto, A note on projective Levi flats and minimal sets of algebraic foliations
  6. Masanori Adachi, Judith Brinkschulte, [unknown]
  7. Bertrand Deroin, Hypersurfaces Levi-plates immergées dans les surfaces complexes de courbure positive

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