On the fundamental group of the space of harmonic 2-spheres in the \(n\)- sphere

DOI10.1007/BF02571727zbMath0813.58007arXivhep-th/9303036OpenAlexW2004439645MaRDI QIDQ1323463

Martin A. Guest, Motoko Kotani, Yoshihiro Ohnita, Mikio Furuta

Publication date: 28 February 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9303036

zbMATH Keywords

harmonic mapstwistor space

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Manifolds of mappings (58D15)

Related Items (9)

Group actions and deformations for harmonic maps into symmetric spaces ⋮ LINEARLY FULL HARMONIC 2-SPHERES IN S⁴ OF AREA 20π ⋮ The space of harmonic two-spheres in the unit four-sphere ⋮ The \(L^{2}\) geometry of spaces of harmonic maps \(S^{2}\to S^2\) and \(\mathbb RP^2\to \mathbb RP^2\) ⋮ The dimension and structure of the space of harmonic 2-spheres in the \(m\)-sphere ⋮ Harmonic 2-spheres with $r$ pairs of extra eigenfunctions ⋮ Spaces of harmonic maps of the projective plane to the four-dimensional sphere ⋮ The space of almost complex 2-spheres in the 6-sphere ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Non-Abelian cohomology and van Kampens's theorem
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• Fundamental groups of spaces of coprime polynomials
• Group actions and deformations for harmonic maps
• Minimal immersions of surfaces in Euclidean spheres
• Connectedness of the Space of Minimal 2-Spheres in S 2m (1)

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