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Construction and Classification of Isometric Minimal Immersions of Kähler Manifolds into Euclidean Spaces
Author(s) -
Furuhata Hitoshi
Publication year - 1994
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/26.5.487
Subject(s) - mathematics , isometric exercise , pure mathematics , euclidean geometry , immersion (mathematics) , manifold (fluid mechanics) , kähler manifold , generalization , mathematical analysis , geometry , medicine , physical therapy , mechanical engineering , engineering
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 C 2 , into R 6 .
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