D. Chen, C. X. Wang, X. Wang, “A Characterization of Separable Hypersurfaces in Euclidean Space”, Mat. Zametki, 2023, Volume 113, Issue 3,Pages <nobr>339

This article is cited in 2 papers

Papers published in the English version of the journal

A Characterization of Separable Hypersurfaces in Euclidean Space

D. Chen^a, C. X. Wang^b, X. Wang^a

^a Dongbei University of Finance and Economics, Dalian, China
^b Zanvyl Krieger School of Arts and Sciences, Johns Hopkins University, Baltimore, MD, United States

Abstract: As generalizations of classical translation hypersurfaces, in this note we introduce the notion of separable hypersurfaces in an $(n+1)$-dimensional Euclidean space. We give a complete classification of separable hypersurfaces with vanishing Gauss–Kronecker curvature.

Keywords: separable surface, translation surface, Gauss–Kronecker curvature.

MSC: 53C35

Received: 25.03.2022

Language: English