#### Filter Results:

- Full text PDF available (4)

#### Publication Year

1967

2009

- This year (0)
- Last 5 years (0)
- Last 10 years (2)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Jiang Yueping, Shigeyasu Kamiya, John R. Parker
- 2001

We give a version of Shimizu’s lemma for groups of complex hyperbolic isometries one of whose generators is a parabolic screw motion. Suppose that G is a discrete group containing a parabolic screw motion A and let B be any element of G not fixing the fixed point of A. Our result gives a bound on the radius of the isometric spheres of B and B−1 in terms of… (More)

A complex hyperbolic triangle group is a group generated by three complex reflections fixing complex slices (complex geodesics) in complex hyperbolic space. Our purpose in this paper is to improve the result in [3] and to discuss discreteness of complex hyperbolic triangle groups of type (n, n,∞; k).

- Yoshitsugu Osumi, Toshihiko Ban, Shigeyasu Kamiya, Kazuaki Shimamoto
- Acta Scholae Medicinalis Universitatis in Kioto
- 1967

We first demonstrate a family of isomorphisms between complex hyperbolic triangle groups and outline a systematic approach classifying the groups. Then we describe conditions that determine the discreteness of certain groups, in particular we prove a slightly weaker version of a conjecture given by Schwartz. Finally we collect together a list of known… (More)

- ‹
- 1
- ›