@article{SM_2004_195_1_a4,
author = {A. E. Mironov},
title = {New examples of {Hamilton-minimal} and minimal {Lagrangian} manifolds in~$\mathbb C^n$ and~$\mathbb C\mathrm P^n$},
journal = {Sbornik. Mathematics},
pages = {85--96},
year = {2004},
volume = {195},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2004_195_1_a4/}
}
TY - JOUR AU - A. E. Mironov TI - New examples of Hamilton-minimal and minimal Lagrangian manifolds in $\mathbb C^n$ and $\mathbb C\mathrm P^n$ JO - Sbornik. Mathematics PY - 2004 SP - 85 EP - 96 VL - 195 IS - 1 UR - http://geodesic.mathdoc.fr/item/SM_2004_195_1_a4/ LA - en ID - SM_2004_195_1_a4 ER -
A. E. Mironov. New examples of Hamilton-minimal and minimal Lagrangian manifolds in $\mathbb C^n$ and $\mathbb C\mathrm P^n$. Sbornik. Mathematics, Tome 195 (2004) no. 1, pp. 85-96. http://geodesic.mathdoc.fr/item/SM_2004_195_1_a4/
[1] Oh Y., “Volume minimization of Lagrangian submanifolds under Hamiltonian deformations”, Math. Z., 212 (1993), 175–192 | DOI | MR | Zbl
[2] Castro I., Urbano F., “Examples of unstable Hamiltonian-minimal Lagrangian tori in $\mathbb C^2$”, Compositio Math., 111 (1998), 1–14 | DOI | MR | Zbl
[3] Helein F., Romon P., “Hamiltonian stationary Lagrangian surfaces in $\mathbb C^2$”, Comm. Anal. Geom., 10 (2002), 79–126 | MR | Zbl
[4] Helein F., Romon P., “Weierstrass representation of Lagrangian surfaces in four-dimensional space using spinors and quaternions”, Comment. Math. Helv., 75 (2000), 680–688 | DOI | MR
[5] Nemirovskii S. Yu., “Puchki Lefshetsa, funktsii Morsa i lagranzhevy vlozheniya butylki Kleina”, Izv. RAN. Ser. matem., 66:1 (2002), 153–166 | MR | Zbl
[6] Helein F., Romon P., “Hamiltonian stationary Lagrangian surfaces in Hermitian symmetric spaces”, Differential geometry and integrable systems, Contemp. Mathematics, 308, eds. M. Guest, R. Miyaoka, Y. Ohnita, Amer. Math. Soc., Providence, RI, 2002, 161–178 | MR | Zbl
[7] Castro I., Urbano F., “New examples of minimal Lagrangian tori in the complex projective plane”, Manuscripta Math., 85 (1994), 265–281 | DOI | MR | Zbl
[8] Wolfson J., “Minimal Lagrangian diffeomorphisms and the Monge–Ampere equation”, J. Differential Geom., 46 (1997), 335–373 | MR | Zbl