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On Veronese-Borůvka spheres

Katsuei Kenmotsu (1997)

Archivum Mathematicum

In this paper, history of reserches for minimal immersions from constant Gaussian curvature 2-manifolds into space forms is explained with special emphasis of works of O. Borůvka. Then recent results for the corresponding probrem to classify minimal immersions of such surfaces in complex space forms are discussed.

Open book structures and unicity of minimal submanifolds

R. Hardt, Harold Rosenberg (1990)

Annales de l'institut Fourier

We prove unicity of certain minimal submanifolds, for example Clifford annuli in S 3 . The idea is to consider the placement of the submanifold with respect to the (singular) foliation of S 3 by the Clifford annuli whose boundary are two fixed great circles a distance π / 2 apart.

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