Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$

Zlatko Erjavec, Jun-ichi Inoguchi

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Source: Crossref

Published: Apr 3, 2025

DOI: 10.1017/s0017089525000102

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Source abstract

Abstract In this paper, we prove the non-existence of Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the $4$ -dimensional model space $\mathrm {Sol}_1^4$ .

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Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$ — Mathematical Frontier Network