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Bulletin of the London Mathematical Society 1994 26(5):487-496; doi:10.1112/blms/26.5.487
© 1994 by London Mathematical Society
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© London Mathematical Society

Construction and Classification of Isometric Minimal Immersions of Kähler Manifolds into Euclidean Spaces

Hitoshi Furuhata

Mathematical Institute Tôhoku University Sendai 980-77 Japan

Received 17 March 1993. Revision received 9 August 1993.

A classification of isometric minimal immersions of Kähler manifolds into Euclidean spaces is given, which is a generalization of the Calabi–Lawson theory concerning minimal surfaces. Moreover, we explicitly construct a nonholomorphic isometric minimal immersion of a complete Kähler manifold, biholomorphic to C2, into R6.


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