Area-minimizing Riemann surfaces on the Iwasawa manifold

被引:0
|
作者
Bassanelli G. [1 ]
机构
[1] Dipartimento di Matematica, Università degli Studi di Parma, Via D'Azeglio 85/A, Parma
来源
The Journal of Geometric Analysis | 1999年 / 9卷 / 2期
关键词
homologically area-minimizing surfaces; Kähler and balanced manifolds; Math Subject Classifications: 49Q05; 53C56; 32C30; 49Q15;
D O I
10.1007/BF02921935
中图分类号
学科分类号
摘要
The Iwasawa manifold is a compact, complex threefold which is not Kähler; but, endowed with the natural hermitian metric, it is balanced. Thus, complex hypersurfaces are homologically area-minimizing, though this does not hold for complex curves. Some interesting pathologies in fact happen. © 1999 Mathematica Josephina, Inc.
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页码:179 / 201
页数:22
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