The Journal of Geometric Analysis

, Volume 9, Issue 2, pp 179–201 | Cite as

Area-minimizing Riemann surfaces on the Iwasawa manifold



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.

Math Subject Classifications

49Q05 53C56 32C30 49Q15 

Key Words and Phrases

homologically area-minimizing surfaces Kähler and balanced manifolds 


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Copyright information

© Mathematica Josephina, Inc. 1999

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità degli Studi di ParmaParmaItaly

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