Blaschke Isoparametric Hypersurfaces in the Conformal Space ${\mathbb Q}^{n+1}_1$}, II

TL;DR

This paper classifies space-like hypersurfaces with parallel Blaschke tensor in the conformal space ${f Q}^{n+1}_1$, providing a comprehensive understanding of their geometric structure up to conformal equivalence.

Contribution

It offers a complete classification of Blaschke isoparametric hypersurfaces with parallel Blaschke tensor in the conformal space.

Findings

Classification of hypersurfaces with parallel Blaschke tensor

Explicit descriptions up to conformal equivalence

Extension of previous geometric results

Abstract

Let $x: \mathbf{M} \rightarrow {\mathbb Q}^{n+1}_1$ be a regular space-like hypersurface in the conformal space ${\mathbb Q}^{n+1}_1$. We classify all those hypersurfaces with parallel Blaschke tensor in the conformal space up to the conformal equivalence.