1

On the Representation of Integers by the Lorentzian Quadratic Form

John G. Ratcliffe, Steven T. Tschantz
Journal:
Journal of Functional Analysis
Year:
1997
Language:
english
File:
PDF, 413 KB
english, 1997
2

On the Davis hyperbolic 4-manifold

John G. Ratcliffe, Steven T. Tschantz
Journal:
Topology and its Applications
Year:
2001
Language:
english
File:
PDF, 152 KB
english, 2001
3

Chordal Coxeter groups

John G. Ratcliffe, Steven T. Tschantz
Journal:
Geometriae Dedicata
Year:
2008
Language:
english
File:
PDF, 378 KB
english, 2008
4

Some examples of aspherical 4-manifolds that are homology 4-spheres

John G. Ratcliffe, Steven T. Tschantz
Journal:
Topology
Year:
2005
Language:
english
File:
PDF, 205 KB
english, 2005
6

Gravitational instantons of constant curvature

Ratcliffe, John G, Tschantz, Steven T
Journal:
Classical and Quantum Gravity
Year:
1998
Language:
english
File:
PDF, 269 KB
english, 1998
7

Spin and complex structures on flat gravitational instantons

Ratcliffe, John G, Tschantz, Steven T
Journal:
Classical and Quantum Gravity
Year:
2000
Language:
english
File:
PDF, 146 KB
english, 2000
9

Integral Congruence Two Hyperbolic 5-Manifolds

John G. Ratcliffe, Steven T. Tschantz
Journal:
Geometriae Dedicata
Year:
2004
Language:
english
File:
PDF, 186 KB
english, 2004
10

On volumes of hyperbolic Coxeter polytopes and quadratic forms

John G. Ratcliffe,Steven T. Tschantz
Journal:
Geometriae Dedicata
Year:
2013
Language:
english
File:
PDF, 266 KB
english, 2013
11

On the isometry group of a compact flat orbifold

Ratcliffe, John G., Tschantz, Steven T.
Journal:
Geometriae Dedicata
Year:
2015
Language:
english
File:
PDF, 265 KB
english, 2015
12

The Calabi construction for compact flat orbifolds

Ratcliffe, John G., Tschantz, Steven T.
Journal:
Topology and its Applications
Year:
2014
Language:
english
File:
PDF, 472 KB
english, 2014
13

The Volume Spectrum of Hyperbolic 4-Manifolds

Ratcliffe, John G., Tschantz, Steven T.
Journal:
Experimental Mathematics
Year:
2000
Language:
english
File:
PDF, 16.47 MB
english, 2000
15

Fibered orbifolds and crystallographic groups

Ratcliffe, John G, Tschantz, Steven T
Journal:
Algebraic & Geometric Topology
Year:
2010
Language:
english
File:
PDF, 389 KB
english, 2010
16

A Bieberbach Theorem for crystallographic group extensions

Ratcliffe, John G, Tschantz, Steven T
Journal:
The Quarterly Journal of Mathematics
Year:
2017
Language:
english
File:
PDF, 1.20 MB
english, 2017