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Area-minimizing Riemann surfaces on the Iwasawa manifold

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Abstract

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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Parma, Via D’Azeglio 85/A, 43100, Parma, Italy

    Giovanni Bassanelli

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  1. Giovanni Bassanelli
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Correspondence to Giovanni Bassanelli.

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Communicated by James Carlson

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Bassanelli, G. Area-minimizing Riemann surfaces on the Iwasawa manifold. J Geom Anal 9, 179–201 (1999). https://doi.org/10.1007/BF02921935

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  • DOI: https://doi.org/10.1007/BF02921935

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