DOI: 10.36890/iejg.1920723 ISSN: 1307-5624

Parallel Hypersurfaces of the Model Space $\mathrm{Nil}_3\times\mathbb{E}^1$

Jun-İchi Inoguchi, Zlatko Erjavec
In this paper we classify Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the the $4$-dimensional nilpotent Lie group $\mathrm{Nil}_3\times\mathbb{E}^1$ equipped with standard globally conformal Kähler metric.

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