• Yueping Jiang

Articles written in Proceedings – Mathematical Sciences

• Discreteness Criteria in $PU(1, n; C)$

In this paper, we study the discreteness for non-elementary subgroups in $PU(1,n;C)$, and several discreteness criteria are obtained.

• Discreteness Criteria based on a Test Map in $PU(n, 1)$

The discreteness of isometry groups in complex hyperbolic space is a fundamental problem. In this paper, the discreteness criteria of a 𝑛-dimensional subgroup 𝐺 of $SU(n,1)$ are investigated by using a test map which may not be in 𝐺.

• Notes on Discrete Subgroups of Möbius Transformations

Jørgensen’s inequality gives a necessary condition for a nonelementary two generator subgroup of $SL(2,\mathbb{C})$ to be discrete. By embedding $SL(2,\mathbb{C})$ into $Û(1,1;\mathbb{H})$, we obtain a new type of Jørgensen’s inequality, which is in terms of the coefficients of involved isometries. We provide an example to show that this result gives an improvement over the classical Jørgensen’s inequality.

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019