On non-\(\pm\)holomorphic conformal minimal two-spheres in a complex Grassmannian \(G(2,5)\) with constant curvature

DOI10.1016/J.DIFGEO.2018.04.008zbMath1391.53071OpenAlexW2803992799WikidataQ115355126 ScholiaQ115355126MaRDI QIDQ1636017

Y. Aharonov

Publication date: 1 June 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2018.04.008

zbMATH Keywords

constant curvaturecomplex Grassmannianisotropy orderclassification of minimal two-spheresfunction of absolute type

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 (4)

Minimal two-spheres of constant curvature in a quaternion projective space ⋮ Construction of conformal minimal two-spheres in quaternionic projective spaces by twistor map ⋮ Diagrams and harmonic maps, revisited ⋮ Rigidity theorems for holomorphic curves in a complex Grassmann manifold G(3,6)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harmonic maps from surfaces to complex projective spaces
• Rigidity of holomorphic curves of constant curvature in \(G(2,5)\)
• The construction of harmonic maps into complex Grassmannians
• Minimal 2-spheres with constant curvature in \(P_ n({\mathbb C})\)
• Harmonic maps of the two-sphere into a complex Grassmann manifold. II
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Harmonic sequences and harmonic maps of surfaces into complex Grassmannian manifolds
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Constant curved minimal 2-spheres in \(G(2,4)\)
• Classification of holomorphic spheres of constant curvature in complex Grassmann manifold \(\mathbf G_{2,5}\)
• Counterexamples to the conjecture on minimal \(S^ 2\) in \(\mathbb{C} P^ n\) with constant Kaehler angle
• Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(HP^2\)
• Minimal immersions of surfaces in Euclidean spheres
• Isometric imbedding of complex manifolds
• Minimal Surfaces by Moving Frames
• The explicit construction of all harmonic two-spheres in G2 (Rn).
• Rigidity of Pseudo-Holomorphic Curves of Constant Curvature in Grassmann Manifolds
• Pseudo-holomorphic curves in complex Grassmann manifolds
• Congruence Theorems for Harmonic Maps from a Riemann Surface into C P ⁿ and S ⁿ
• The Riemannian geometry of superminimal surfaces in complex space forms
• Harmonic Mappings of Riemannian Manifolds

This page was built for publication: On non-\(\pm\)holomorphic conformal minimal two-spheres in a complex Grassmannian \(G(2,5)\) with constant curvature