Minimal surfaces and deformations of holomorphic curves in Kähler-Einstein manifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 29 (2000) no. 2, pp. 473-481. 
@article{ASNSP_2000_4_29_2_473_0,
     author = {Arezzo, Claudio},
     title = {Minimal surfaces and deformations of holomorphic curves in {K\"ahler-Einstein} manifolds},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {473--481},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 29},
     number = {2},
     year = {2000},
     mrnumber = {1784183},
     zbl = {1010.58006},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2000_4_29_2_473_0/}
}
TY  - JOUR
AU  - Arezzo, Claudio
TI  - Minimal surfaces and deformations of holomorphic curves in Kähler-Einstein manifolds
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 2000
SP  - 473
EP  - 481
VL  - 29
IS  - 2
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_2000_4_29_2_473_0/
LA  - en
ID  - ASNSP_2000_4_29_2_473_0
ER  - 
%0 Journal Article
%A Arezzo, Claudio
%T Minimal surfaces and deformations of holomorphic curves in Kähler-Einstein manifolds
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 2000
%P 473-481
%V 29
%N 2
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_2000_4_29_2_473_0/
%G en
%F ASNSP_2000_4_29_2_473_0
Arezzo, Claudio. Minimal surfaces and deformations of holomorphic curves in Kähler-Einstein manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 29 (2000) no. 2, pp. 473-481. http://www.numdam.org/item/ASNSP_2000_4_29_2_473_0/

[1] C. Arezzo, Complete minimal surfaces in hyperkähler manifolds, Compositio Math. 112 (1998), 33-40. | MR | Zbl

[2] C. Arezzo - M.J. Micallef, Minimal surfaces in flat tori, to appear in Geom. Funct. Anal. | MR | Zbl

[3] C. Arezzo - M.J. Micallef - G.P. Pirola, Stable complete minimal surfaces offinite total curvature, preprint.

[4] M. Atiyah - N. Hitchin, "The Geometry and Dynamics of Magnetic Monopoles", Princeton University Press, Princeton, 1988. | MR | Zbl

[5] S. Bloch, Semi-regularity and deRham cohomology, Invent. Math. 17 (1972), 51-66. | MR | Zbl

[6] J. Chen - G. Tian, Minimal surfaces in Riemannian 4-manifolds, Geom. Funct. Anal. 7 (1997), 873-916. | MR | Zbl

[7] S.K. Donaldson, Moment maps and diffeomorphisms, Asian J. Math. 3 (1999), 1-16. | MR | Zbl

[8] J. Eells - L. Lemaire, Deformations of metrics and associated harmonic maps, Proc. Indian Academy of Science 90 (1981), 33-45. | MR | Zbl

[9] P. Griffithset Al., Infinitesimal variations of Hodge structure, I, II and III, Compositio Math. 50 (1983), 109-324. | Numdam | MR | Zbl

[10] A. Hirschowitz, Sur la postulation generique des courbes rationnelles, Acta Math. 146 (1981), 209-230. | MR | Zbl

[11] K. Kodaira, "Complex Manifolds and Deformations of Complex Structures", Grundlehren der Mathematischen Wissenschaften n. 283, Springer-Verlag, 1986. | MR | Zbl

[12] B. Lawson - J. Simons, On stable currents and their applications to global problems in real and complex geometry, Ann. of Math. 98 (1973), 427-450. | MR | Zbl

[13] Y.-I. Lee, Lagrangian minimal surfaces in Kähler-Einstein surfaces of negative scalar curvature, Comm. Anal. Geom. 2 (1994), 579-592. | MR | Zbl

[14] Y.-I. Lee, The Deformation of Lagrangian Minimal Surfaces in Kahler-Einstein Surfaces, J. Differential Geom. 50 (1998), 299-330. | MR | Zbl

[15] M.J. Micallef, Stable minimal surfaces in Euclidean space, J. Differential Geom. 19 (1984), 57-84. | MR | Zbl

[16] M.J. Micallef - J.G. Wolfson, The second variation of area of minimal surfaces in four-manifolds, Math. Ann. 295 (1993), 245-267. | MR | Zbl

[17] R. Schoen, The role of harmonic mappings in rigidity and deformation problems, Proc. of the Osaka International Conf. on Complex Geometry, G. Komatsu and Y Sakane (eds.) (1993), 179-200. | MR | Zbl

[18] J. Simons, Minimal varieties in riemannian manifolds, Ann. of Math. 88 (1968), 62-105. | MR | Zbl

[19] Y.T. Siu - S.T. Yau, Compact Kähler manifolds ofpostive bisectional curvature, Invent. Math. 59 (1980), 189-204. | MR | Zbl

[20] J. Steenbrink, Some remarks about the Hodge conjecture, In: "Hodge Theory", Lecture Notes in Math., 1246, Springer, Berlin-New York, 1987, 165-175. | MR | Zbl

[21] S. Trapani - G. Valli, One-harmonic maps on Riemann surfaces, Comm. Anal. Geom. 3 (1995), 645-681. | MR | Zbl

[22] B. White, Minimal submanifolds for varying riemannian metrics, Indiana Univ. Math. J. 40 (1991), 161-200. | MR | Zbl

[23] J.G. Wolfson, Minimal surfaces in Kähler surfaces and Ricci curvature, J. Differential Geom. 29 (1989), 281-294. | MR | Zbl

[24] J.G. Wolfson, Minimal Lagrangian diffeomorphisms and the Monge-Ampere equation, J. Differential Geom. 46 (1997), 335-373. | MR | Zbl

[25] S.-T. Yau, Open problems in geometry, Proc. Symp. Pure Math. A.M.S. 54 (1993), 1-28. | MR | Zbl