Semi-calibrated 2-currents are pseudoholomorphic, with applications

DOI10.1112/blms/bdu037zbMath1301.53048arXiv1507.06542OpenAlexW1985167946MaRDI QIDQ5495358

Costante Bellettini

Publication date: 4 August 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06542

zbMATH Keywords

regularity theorynormalized powerpseudoholomorphic semi-calibrationsemi-calibrated current

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Calibrations and calibrated geometries (53C38) Local Riemannian geometry (53B20)

Related Items (5)

Rate of decay for the mass ratio of pseudo-holomorphic integral 2-cycles ⋮ Almgren's type regularity for semicalibrated currents ⋮ Non-unique conical and non-conical tangents to rectifiable stationary varifolds in \(\mathbb R^4\) ⋮ Nonclassical minimizing surfaces with smooth boundary ⋮ Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents

Cites Work

• Coassociative cones ruled by 2-planes
• Uniqueness of tangent cones for semicalibrated integral 2-cycles
• Calibrated geometries
• \(\lambda\) minimizing currents
• Gauge theory and calibrated geometry. I
• The singular set of 1-1 integral currents
• Uniqueness of tangent cones to positive-\((p,p)\) integral cycles
• Almost complex structures and calibrated integral cycles in contact 5-manifolds
• Gauge Theory in higher dimensions, II
• Two Dimensional Area Minimizing Integral Currents are Classical Minimal Surfaces
• Tangent cones to positive-\((1,1)\) De Rham currents
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