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The Margulis invariant for parabolic transformations
Author(s):
Virginie
Charette;
Todd
A.
Drumm
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2439-2447.
MSC (2000):
Primary 53A15;
Secondary 83A05
Posted:
March 21, 2005
MathSciNet review:
2138887
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Abstract:
In this note, we extend the definition of Margulis' signed Lorentzian displacement to parabolic transformations in  . We show that the standard propositions about the ``sign'' of the transformations all hold true for parabolic elements also. In particular, we show that Margulis' opposite sign lemma holds.
References:
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Additional Information:
Virginie
Charette
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4L7
Email:
charette@math.mcmaster.ca
Todd
A.
Drumm
Affiliation:
Department of Mathematics and Statistics, Swarthmore College, Swarthmore, Pennsylvania 19081
Address at time of publication:
Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6395
Email:
tad@swarthmore.edu, tad@math.upenn.edu
DOI:
10.1090/S0002-9939-05-08137-2
PII:
S 0002-9939(05)08137-2
Received by editor(s):
February 14, 2003
Posted:
March 21, 2005
Communicated by:
Wolfgang Ziller
Copyright of article:
Copyright
2005,
American Mathematical Society
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