The Space of Harmonic Maps of S 2 into S 4

DOI10.2307/2001066zbMath0686.58009OpenAlexW2012412762MaRDI QIDQ4204832

Bonaventure Loo

Publication date: 1989

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001066

zbMATH Keywords

harmonic mapsmeromorphic functions

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Harmonic maps, etc. (58E20)

Related Items (15)

Group actions and deformations for harmonic maps into symmetric spaces ⋮ Jacobi fields along harmonic 2-spheres in 3- and 4-spheres are not all integrable ⋮ The space of harmonic two-spheres in the unit four-sphere ⋮ Twistorial cohomotopy implies Green–Schwarz anomaly cancellation ⋮ The dimension and structure of the space of harmonic 2-spheres in the \(m\)-sphere ⋮ Second variation of superminimal surfaces into self-dual Einstein four-manifolds ⋮ Harmonic 2-spheres with $r$ pairs of extra eigenfunctions ⋮ Spaces of harmonic maps of the projective plane to the four-dimensional sphere ⋮ Legendrian curves in \(\mathbb{C} P^3\): cubics and curves on a quadric surface ⋮ A note on Lagrangian submanifolds of twistor spaces and their relation to superminimal surfaces ⋮ Irreducibility of moduli space of harmonic 2-spheres in S4 ⋮ Unnamed Item ⋮ Recent developments in Wintgen inequality and Wintgen ideal submanifolds ⋮ The dimension of the moduli space of superminimal surfaces of a fixed degree and conformal structure in the 4-sphere ⋮ Quaternionic geometry of a nilpotent variety

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