Classification of minimal homogeneous two-spheres in the complex Grassmann manifold \(G(2, n)\)

DOI10.1016/j.matpur.2014.04.008zbMath1306.53054OpenAlexW2078766326MaRDI QIDQ488013

Chia-kuei Peng, Xiao-Wei Xu

Publication date: 23 January 2015

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2014.04.008

zbMATH Keywords

Kähler angleGauss curvaturethe second fundamental formminimal two-sphere

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (13)

Equivariant holomorphic embeddings from the complex projective line into complex Grassmannian of 2-planes ⋮ Holomorphic solutions of the susy Grassmannian σ-model and gauge invariance ⋮ Classification of homogeneous minimal immersions from \(S^2\) to \({\mathbb {H}}P^n\) ⋮ A characterization of homogeneous totally real minimal two-spheres in a complex hyperquadric ⋮ Minimal two-spheres with constant curvature in the quaternionic projective space ⋮ Rigidity of homogeneous holomorphic \(S^2\) in a complex Grassmann manifold \(G(2, N)\) ⋮ Minimal two-spheres with constant curvature in the complex Grassmannians ⋮ Classification of homogeneous holomorphic two-spheres in complex Grassmann manifolds ⋮ Structure of minimal 2-spheres of constant curvature in the complex hyperquadric ⋮ Constant curvature surfaces of the supersymmetric ℂP N−1 sigma model ⋮ General solutions of the supersymmetric ℂP2 sigma model and its generalisation to ℂP N−1 ⋮ Pinching for holomorphic curves in a complex Grassmann manifold \(G(2,n;\mathbb{C})\) ⋮ Rigidity theorems for holomorphic curves in a complex Grassmann manifold G(3,6)

Cites Work

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• Rigidity of Pseudo-Holomorphic Curves of Constant Curvature in Grassmann Manifolds
• On Minimal Immersions of S 2 Into S 2m
• Pseudo-holomorphic curves in complex Grassmann manifolds

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