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Examples of constant mean curvature immersions of the 3-sphere into euclidean 4-space

Examples of constant mean curvature immersions of the 3-sphere into euclidean 4-space

Mean curvature is one of the simplest and most basic of local differential geometric invariants. Therefore, closed hypersurfaces of constant mean curvature in euclidean spaces of high dimension are basic objects of fundamental importance in global differential geometry. Before the examples of this paper, the only known example was the …