Area-minimizing Riemann surfaces on the Iwasawa manifold

DOI10.1007/BF02921935zbMath0972.32004OpenAlexW2314374797MaRDI QIDQ1589345

Giovanni Bassanelli

Publication date: 11 December 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921935

zbMATH Keywords

Kähler manifoldsIwasawa manifoldbalanced manifoldsintegral currentarea-minimizing holomorphic cycle

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Homogeneous complex manifolds (32M10) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Integration on analytic sets and spaces, currents (32C30)

Related Items (1)

The cohomologies of the Iwasawa manifold and of its small deformations

Cites Work

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• Metric properties of manifolds bimeromorphic to compact Kähler spaces
• Compact p-Kähler manifolds
• On the existence of special metrics in complex geometry
• Remarks on torus principal bundles
• The currents defined by analytic varieties
• The stable homology of flat torus.
• Holomorphic chains and the support hypothesis conjecture

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