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Length spectrum in rank one symmetric space is not arithmetic
Author(s):
Inkang
Kim
Journal:
Proc. Amer. Math. Soc.
134
(2006),
3691-3696.
MSC (2000):
Primary 58D19, 53C23
Posted:
May 31, 2006
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Abstract:
In this paper we show that a nonelementary nonparabolic group in a real semisimple Lie group of rank one has the property that the set of translation lengths of hyperbolic elements is not contained in any discrete subgroup of  .
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Additional Information:
Inkang
Kim
Affiliation:
Department of Mathematics, Seoul National University, Seoul 151-742, Korea
Email:
inkang@math.snu.ac.kr
DOI:
10.1090/S0002-9939-06-08373-0
PII:
S 0002-9939(06)08373-0
Received by editor(s):
October 13, 2004
Received by editor(s) in revised form:
June 16, 2005
Posted:
May 31, 2006
Additional Notes:
This work was partially supported by KOSEF Grant (R01-2005-000-10625-0(2005)).
Communicated by:
Jon G. Wolfson
Copyright of article:
Copyright
2006,
American Mathematical Society
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