Area-minimizing Riemann surfaces on the Iwasawa manifold
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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 Classifications49Q05 53C56 32C30 49Q15
Key Words and Phraseshomologically area-minimizing surfaces Kähler and balanced manifolds
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