The space of harmonic two-spheres in the unit four-sphere

DOI10.2748/tmj/1156256402zbMath1106.58006OpenAlexW2015603408MaRDI QIDQ854472

Lyndon M. Woodward, John Bolton

Publication date: 4 December 2006

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: http://www.math.tohoku.ac.jp/tmj/tohokumathjen.html

zbMATH Keywords

2-sphereharmonic mapstwistor fibrationfour-sphere

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (3)

Jacobi fields along harmonic 2-spheres in 3- and 4-spheres are not all integrable ⋮ Torus-like solutions for the Landau-de Gennes model. II: Topology of \(\mathbb{S}^1\)-equivariant minimizers ⋮ Spaces of harmonic maps of the projective plane to the four-dimensional sphere

Cites Work

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• Jacobi Fields Along Harmonic 2-Spheres in CP ² are Integrable
• Minimal Surfaces by Moving Frames
• On Minimal Immersions of S 2 Into S 2m
• The Space of Harmonic Maps of S 2 into S 4
• The Space of Harmonic Maps from the 2-Sphere to the Complex Projective Plane
• LINEARLY FULL HARMONIC 2-SPHERES IN S⁴ OF AREA 20π
• ON THE SPACE OF HARMONIC 2-SPHERES IN CP²

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