MINIMALITY OF AFFINE LAGRANGIAN SUBMANIFOLDS IN COMPLEX EQUIAFFINE SPACES

DOI10.1142/S0129167X10006495zbMath1235.53031OpenAlexW2088184724WikidataQ125340552 ScholiaQ125340552MaRDI QIDQ3094362

Barbara Opozda

Publication date: 24 October 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x10006495

zbMATH Keywords

volume functionalcomplex connectioncomplex Ricci tensoroscillation of phase

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lagrangian submanifolds; Maslov index (53D12) Calibrations and calibrated geometries (53C38)

Related Items (1)

A moduli space of minimal affine Lagrangian submanifolds

Cites Work

• Unnamed Item
• Affine geometry of special real submanifolds of \(\mathbb C^n\)
• Locally symmetric minimal affine Lagrangian surfaces in \(\mathbb{C}^{2}\)
• Differential geometry of real submanifolds in a Kaehler manifold
• Ricci-flat metrics on the complexification of a compact rank one symmetric space
• On affine geometry of purely real submanifolds
• On some properties of the curvature and Ricci tensors in complex affine geometry

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