Regular space-like hypersurfaces in $\mathbb{S}^{m+1}_{1}$ with parallel para-Blaschke tensors

TL;DR

This paper provides a comprehensive conformal classification of regular space-like hypersurfaces in de Sitter space with parallel para-Blaschke tensors, advancing understanding of their geometric properties.

Contribution

It offers the first complete classification of such hypersurfaces with parallel para-Blaschke tensors in de Sitter space.

Findings

Complete conformal classification achieved

Identification of geometric structures with parallel para-Blaschke tensors

Enhanced understanding of space-like hypersurfaces in de Sitter space

Abstract

In this paper, we give a complete conformal classification of the regular space-like hypersurfaces in the de Sitter Space $\mathbb{S}^{m+1}_{1}$ with parallel para-Blaschke tensors.