Lizhao Zhang

collaborators

3 papers

math.MG2023

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…

math.MG2023

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.MG2018

Lifting degenerate simplices with a single volume constraint

Lizhao Zhang

Let $M^{d}$ be the spherical, Euclidean, or hyperbolic space of dimension $d \geq n + 1$ . Given any degenerate $(n + 1)$ -simplex $A$ in $M^{d}$ with non-degenerate $n$ -faces $F_{i}$ ,…