LINEARLY FULL HARMONIC 2-SPHERES IN S4 OF AREA 20π

DOI10.1142/S0129167X01000915zbMath1111.53301WikidataQ126210671 ScholiaQ126210671MaRDI QIDQ4807354

John Bolton, Lyndon M. Woodward

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Twistor methods in differential geometry (53C28) Differential geometric aspects of harmonic maps (53C43)

Related Items (5)

The space of harmonic two-spheres in the unit four-sphere ⋮ 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 ⋮ Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces ⋮ An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane

Cites Work

• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• On the fundamental group of the space of harmonic 2-spheres in the \(n\)- sphere
• Higher singularities and the twistor fibration \(\pi : \mathbb{C} P^3 \rightarrow S^4\)
• Minimal immersions of S² and ℝP² into ℂPⁿ with few higher order singularities
• ON THE SPACE OF HARMONIC 2-SPHERES IN CP²

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