Journal of the American Mathematical Society

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ISSN 1088-6834(e) ISSN 0894-0347(p)

Submanifolds in hyper-Kähler geometry

Author(s): Robert Bryant; Reese Harvey
Journal: J. Amer. Math. Soc. 2 (1989), 1-31.
MSC: Primary 53C40; Secondary 32C10, 53C25, 53C55
MathSciNet review: 953169
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References:

[Be]: A. Beauville, Variétés Kählériennes compactes avec ${c_1} = 0$ , Astérisque 126 (1985), 181-192. MR 785234
[Bo]: F. Bogomolov, Hamiltonian Kähler manifolds, Soviet Math. Dokl. 19 (1978), 1462-1465.
[BH]: R. Bryant and R. Harvey, Stabilizers of calibrations (to appear).
[DHM]: J. Dadok, R. Harvey, and F. Morgan, Calibrations on ${{\mathbf{R}}^8}$ , Trans. Amer. Math. Soc. 307 (1988), 1-40. MR 936802 (89f:53089)
[HL]: R. Harvey and H. B. Lawson, Jr., Calibrated geometries, Acta Math. 148 (1982), 47-157. MR 666108 (85i:53058)
[HKLR]: N. Hitchin, A. Karlhede, U. Lindström, and M. Roček, Hyperkähler metrics and super symmetry, Comm. Math. Phys. (to appear).
[T]: A. Todorov, Every holomorphic symplectic manifold admits a Kähler metric, preprint.

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