Möbius homogeneous Willmore 2‐spheres

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY（2018）

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摘要

We characterize all Mobius homogeneous 2-spheres in the conformal n-sphere as being Mobius congruent to products of minimal Boruvka-Veronese 2-spheres. Among the latter only the single Boruvka-Veronese 2-spheres are Willmore and therefore every Mobius homogeneous Willmore 2-sphere is Mobius congruent to a Boruvka-Veronese 2-sphere.

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