Sequences of minimal surfaces in \(S^{2n+1}\)

DOI10.1007/s11856-010-0091-0zbMath1213.53074OpenAlexW2083645805MaRDI QIDQ607870

Miroslava Antić, Luc Vrancken

Publication date: 6 December 2010

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

Full work available at URL: https://doi.org/10.1007/s11856-010-0091-0

zbMATH Keywords

ellipsespherecurvatureminimal surfacesconformal structureminimal immersionorientation-reversing isometry

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Transforms for minimal surfaces in 5-dimensional space forms ⋮ Sequences of harmonic maps in the 3-sphere ⋮ Non-conformal harmonic maps into the 3-sphere ⋮ A representation formula for non-conformal harmonic surfaces in \(R^3\) ⋮ Transforms for non-conformal harmonic surfaces in \(\mathbb R^3\) ⋮ The Bonnet problem for harmonic maps to the three-sphere ⋮ Polar varieties and bipolar surfaces of minimal surfaces in the \(n\)-sphere

Cites Work

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• The construction of harmonic maps into complex Grassmannians
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• Equivariant Minimal Immersions of S 2 into S 2m (1)
• Congruence Theorems for Harmonic Maps from a Riemann Surface into C P ⁿ and S ⁿ