Complete Integrability of a Nonlinear Elliptic System, Generating Bi-Umbilical Foliated Semi-Symmetric Hypersurfaces in $\R^4$

TL;DR

This paper explicitly classifies all bi-umbilical foliated semi-symmetric hypersurfaces in four-dimensional Euclidean space, contributing to the understanding of their geometric structure.

Contribution

It provides a complete explicit classification of a special class of hypersurfaces in -dimensional space, advancing geometric theory.

Findings

Explicit description of all such hypersurfaces

Identification of their geometric properties

Contribution to the theory of semi-symmetric hypersurfaces

Abstract

We find explicitly all bi-umbilical foliated semi-symmetric hypersurfaces in the four-dimensional Euclidean space.