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Area minimizers in a \(K3\) surface and holomorphicity

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Publication:2499327
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DOI10.1007/s00039-006-0555-xzbMath1107.53043arXivmath/0505440OpenAlexW2024433613WikidataQ125847862 ScholiaQ125847862MaRDI QIDQ2499327

Mario J. Micallef, Jon G. Wolfson

Publication date: 14 August 2006

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505440


zbMATH Keywords

holomorphic curve\(K3\) surfacearea minimizerLagrangian area minimizer


Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Kähler-Einstein manifolds (32Q20)


Related Items (6)

A variational characterization of complex submanifolds ⋮ Non-holomorphic cycles and non-BPS black branes ⋮ Minimal surfaces and weak gravity ⋮ Variational characterizations of invariant submanifolds in Sasaki manifolds ⋮ PQ axiverse ⋮ Surfaces in four-dimensional hyperkähler manifolds whose twistor lifts are harmonic sections




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