Structures géométriques holomorphes sur les variétés complexes compactes
Annales scientifiques de l'École Normale Supérieure (2001)
- Volume: 34, Issue: 4, page 557-571
- ISSN: 0012-9593
Access Full Article
topHow to cite
topDumitrescu, Sorin. "Structures géométriques holomorphes sur les variétés complexes compactes." Annales scientifiques de l'École Normale Supérieure 34.4 (2001): 557-571. <http://eudml.org/doc/82551>.
@article{Dumitrescu2001,
author = {Dumitrescu, Sorin},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {compact complex manifolds; holomorphic Riemannian metric; geometric structures; rigidity; Kähler manifolds},
language = {fre},
number = {4},
pages = {557-571},
publisher = {Elsevier},
title = {Structures géométriques holomorphes sur les variétés complexes compactes},
url = {http://eudml.org/doc/82551},
volume = {34},
year = {2001},
}
TY - JOUR
AU - Dumitrescu, Sorin
TI - Structures géométriques holomorphes sur les variétés complexes compactes
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2001
PB - Elsevier
VL - 34
IS - 4
SP - 557
EP - 571
LA - fre
KW - compact complex manifolds; holomorphic Riemannian metric; geometric structures; rigidity; Kähler manifolds
UR - http://eudml.org/doc/82551
ER -
References
top- [1] Akhiezer D., Lie Group Actions in Complex Analysis, Aspects of Mathematics, 1995. Zbl0845.22001MR1334091
- [2] Beauville A., Variétés Kähleriennes dont la première classe de Chern est nulle, J. Differential Geom.18 (1983) 755-782. Zbl0537.53056MR730926
- [3] Benoist Y., Orbites des structures rigides (d'après M. Gromov), in: Feuilletages et Systèmes Intégrables (Montpellier, 1995), Birkhäuser, Boston, 1997, pp. 1-17. Zbl0880.58031MR1432904
- [4] Bogomolov F., Classification of surfaces of class VII0 with b2=0, Math. USSR Izvestija10 (2) (1976) 255-269. Zbl0352.32020
- [5] Bogomolov F., Holomorphic tensors and vector bundles on projective varieties, Math. USSR Izvestija13 (3) (1979) 499-555. Zbl0439.14002
- [6] Bryant R., Chern S., Gardner R., Goldschmidt H., Griffiths P., Exterior Differential Systems, M.S.R.I. Publications, 18, Springer-Verlag, 1991. Zbl0726.58002MR1083148
- [7] Campana F., Demailly J.-P., Peternell T., The algebraic dimension of compact complex threefolds with vanishing second Betti number, Compositio Math.112 (1) (1998) 77-91. Zbl0910.32032MR1622747
- [8] Dumitrescu S., Structures géométriques holomorphes, Thèse E.N.S.-Lyon, 1999. MR1735886
- [9] Fulton W., Harris J., Representation Theory, Graduate Texts in Mathematics, 129, Springer-Verlag, 1991. Zbl0744.22001MR1153249
- [10] Ghys É., Déformations des structures complexes sur les espaces homogènes de SL(2,C), J. Reine Angew. Math.468 (1995) 113-138. Zbl0868.32023MR1361788
- [11] Ghys É., Feuilletages holomorphes de codimension un sur les espaces homogènes complexes, Ann. Fac. Sci. Toulouse Math. (6)5 (3) (1996) 493-519. Zbl0877.57014MR1440947
- [12] Grauert H., Remmert R., Über kompakte homogene komplexe Mannigfaltigkeiten, Arch. Math.13 (1962) 498-507. Zbl0118.37402MR145558
- [13] Gromov M., Rigid transformation groups, in: Bernard D., Choquet-Bruhat Y. (Eds.), Géométrie Différentielle, Vol. 33, Hermann, 1988, pp. 65-139. Zbl0652.53023MR955852
- [14] Horst C., Kobayashi S., Topics in complex differential geometry, DMV Semin3 (1983) 1-64. Zbl0506.53029MR826252
- [15] Huckleberry A., Kebekus S., Peternell T., Group actions on S6 and complex structures on P3(C), Duke Math. J.102 (1) (2000) 101-124. Zbl0971.53024MR1741779
- [16] Humpreys J., Linear Algebraic Groups, Graduate Texts in Mathematics, 21, Springer-Verlag, 1975. Zbl0325.20039MR396773
- [17] Hwang J.-M., Mok N., Uniruled projective manifolds with irreducible reductive G-structure, J. Reine Angew. Math.490 (1997) 55-64. Zbl0882.22007MR1468924
- [18] Inoue M., Kobayashi S., Ochiai T., Holomorphic affine connections on compact complex surfaces, J. Fac. Sci. Univ. Tokyo Sect. IA Math.27 (2) (1980) 247-264. Zbl0467.32014MR586449
- [19] Kobayashi S., First Chern class and holomorphic tensor fields, Nagoya Math. J.77 (1980) 5-11. Zbl0432.53049MR556302
- [20] Kobayashi S., The first Chern class and holomorphic symmetric tensor fields, J. Math. Soc. Japan32 (2) (1980) 325-329. Zbl0447.53055MR567422
- [21] Kolar I., Michor P., Slovak J., Natural Operations in Differential Geometry, Springer-Verlag, 1991. Zbl0782.53013MR1202431
- [22] Lescure F., Sur certains espaces fibrés kaehlériens, J. Math. Pures et Appl.57 (1978) 181-190. Zbl0442.14001MR499333
- [23] Malgrange B., L'involutivité générique des systèmes différentiels analytiques, C. R. Acad. Sci. Paris, Série 1326 (1998) 863-866. Zbl0924.58116MR1648544
- [24] Moishezon B., On n dimensional compact varieties with n independent meromorphic functions, Amer. Math. Soc. Transl.63 (1967) 51-77. Zbl0186.26204
- [25] Mumford D., Introduction to Algebraic Geometry, Harvard University, 1966.
- [26] Nomizu K., On local and global existence of Killing vector fields, Ann. of Math. (2)72 (1960) 105-120. Zbl0093.35103MR119172
- [27] Popov V., Vinberg E., Invariant theory, Algebraic Geometry 4, E.M.S.55 (1991) 123-280. Zbl0789.14008
- [28] Yau S.T., On the Ricci curvature of a compact Kähler manifold and the complex Monge–Ampère equation I, Comm. Pure Appl. Math.31 (3) (1978) 339-411. Zbl0369.53059
Citations in EuDML Documents
top- Sorin Dumitrescu, Métriques riemanniennes holomorphes en petite dimension
- Sorin Dumitrescu, Homogénéité locale pour les métriques riemanniennes holomorphes en dimension
- Sorin Dumitrescu, Structures géométriques sur les courbes et les surfaces complexes
- Guy Casale, Feuilletages singuliers de codimension un, groupoïde de Galois et intégrales premières
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.