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Minimal 2-spheres with constant curvature in \(P_ n({\mathbb C})\) - MaRDI portal

Minimal 2-spheres with constant curvature in \(P_ n({\mathbb C})\) (Q1086856)

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scientific article; zbMATH DE number 3986100
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English
Minimal 2-spheres with constant curvature in \(P_ n({\mathbb C})\)
scientific article; zbMATH DE number 3986100

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    Minimal 2-spheres with constant curvature in \(P_ n({\mathbb C})\) (English)
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    1987
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    In this paper we construct homogeneous minimal 2-spheres in a complex projective space by using unitary representations of SU(2). Moreover we prove that they exhaust all minimal 2-spheres with constant curvature in a complex projective space, using the twistor construction of harmonic maps into a complex projective space due to Eells-Wood.
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    minimal 2-spheres
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    harmonic maps
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    complex projective space
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    minimal surfaces
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    twistor spaces
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