Crooked planes
Authors:
Todd A. Drumm and William M. Goldman
Journal:
Electron. Res. Announc. Amer. Math. Soc. 1 (1995), 10-17
MSC (1991):
Primary 51
DOI:
https://doi.org/10.1090/S1079-6762-95-01002-X
MathSciNet review:
1336695
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Abstract: Crooked planes are polyhedra used to construct fundamental polyhedra for discrete groups of Lorentz isometries acting properly on Minkowski (2+1)-space. These fundamental polyhedra are regions bounded by disjoint crooked planes. We develop criteria for the intersection of crooked planes and apply these criteria to proper discontinuity of discrete isometry groups.
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- Milnor, J., On fundamental groups of complete affinely flat manifolds, Adv. Math. 25 (1977), 178–187
- Tits, J., Free subgroups in linear groups, J. Algebra 20 (1972), 250–270
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Additional Information
Todd A. Drumm
Email:
tad@math.upenn.edu
William M. Goldman
Email:
wmg@math.umd.edu
Keywords:
Space-times,
affine,
fundamental polyhedra,
crooked planes
Received by editor(s):
March 11, 1995
Additional Notes:
Goldman was partially supported by NSF grant DMS-8902619 and the University of Maryland Institute for Advanced Computer Studies. Drumm was partially supported by an NSF Postdoctoral fellowship, and thanks Swarthmore College’s KIVA project for their hospitality.
Communicated by:
Gregory Margulis
Article copyright:
© Copyright 1995
American Mathematical Society
