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Rotation hypersurfacas in \(\mathbb S^{n} \times \mathbb R\) and \(\mathbb H^{n} \times \mathbb R\). (English) Zbl 1220.53023

A notion of rotation hypersurface of \(S^n\times\mathbb R\) and \(H^n\times\mathbb R\) is given and some minimal rotation hypersurfaces, flat rotation hypersurfaces, and rotation hypersurfaces which are normally flat in \(S^n\times\mathbb R\) and \(H^n\times\mathbb R\) are classified.

MSC:

53B25 Local submanifolds