John G. Ratcliffe
Vanderbilt University
78 Papers
310 Citations
John G. Ratcliffe is an academic researcher from Vanderbilt University. The author has contributed to research in topics: Coxeter group & Hyperbolic group. The author has an hindex of 16, co-authored 77 publications. Previous affiliations of John G. Ratcliffe include University of Wisconsin-Madison & Institute for Advanced Study.
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Papers
Geometry of Discrete Groups
John G. Ratcliffe
- 01 Jan 1994
TL;DR: In this paper, the geometry of discrete groups of isometries of S n, E n, and H n is studied, and the basic properties of fundamental domains for a discrete group are examined in Sections 6.2, 6.3, and 6.4.
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Some examples of aspherical 4-manifolds that are homology 4-spheres
TL;DR: In this article, the problem of solving 4.17 on Kirby's problem list is solved by constructing infinitely many homotopy types of aspherical 4-manifolds that are homology 4-spheres.
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•Journal Article
Volumes of integral congruence hyperbolic manifolds.
TL;DR: In this article, the volumes of the arithmetic hyperbolic w-manifolds that arise s the orbit space of a principal congruence subgroup, of prime level, of the group of integral, positive, Lorentzian Oi + l )x ( rc + l) matrices in terms of Bernoulli numbers were determined.
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