Geodesic
Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$
Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 487-493

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DOI

In this paper, we prove the non-existence of Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the $4$-dimensional model space $\mathrm {Sol}_1^4$.
DOI : 10.1017/S0017089525000102
Mots-clés : Codazzi hypersurface, parallel hypersurface, totally umbilical, totally geodesic, solvable Lie group 
Erjavec, Zlatko; Inoguchi, Jun-ichi. Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$. Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 487-493. doi: 10.1017/S0017089525000102
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     title = {Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$},
     journal = {Glasgow mathematical journal},
     pages = {487--493},
     year = {2025},
     volume = {67},
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     doi = {10.1017/S0017089525000102},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089525000102/}
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