Lizhao Zhang

collaborators

2 papers

math.MG2025

A volume correspondence between anti-de Sitter space and its boundary

Lizhao Zhang

Let $H_{1}^{n + 1}$ be the $(n + 1)$ -dimensional anti-de Sitter space (AdS), in this paper we propose to extend $H_{1}^{n + 1}$ conformally to another copy of $\mathbb{H}^{…

math.MG2025

Simplices with fixed volumes of codimension 2 faces in a continuous deformation

Lizhao Zhang

For any $n$ -dimensional simplex in the Euclidean space $R^{n}$ with $n \geq 4$ , it is asked that if a continuous deformation preserves the volumes of all the codimension 2 fac…