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

top

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

top
  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

top
  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 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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.