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Some two-step and three-step nilpotent Lie groups with small automorphism groups
Author(s):
S.
G.
Dani
Journal:
Trans. Amer. Math. Soc.
355
(2003),
1491-1503.
MSC (2000):
Primary 22D45, 22E25;
Secondary 22D40, 37D20
Posted:
December 4, 2002
MathSciNet review:
1946401
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Abstract:
We construct examples of two-step and three-step nilpotent Lie groups whose automorphism groups are ``small'' in the sense of either not having a dense orbit for the action on the Lie group, or being nilpotent (the latter being stronger). From the results we also get new examples of compact manifolds covered by two-step simply connected nilpotent Lie groups which do not admit Anosov automorphisms.
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Additional Information:
S.
G.
Dani
Affiliation:
Erwin Schrödinger Institute, Boltzmanngasse 9, A-1090 Vienna, Austria
Address at time of publication:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400 005, India
Email:
dani@math.tifr.res.in
DOI:
10.1090/S0002-9947-02-03178-1
PII:
S 0002-9947(02)03178-1
Received by editor(s):
April 29, 2002
Received by editor(s) in revised form:
July 12, 2002
Posted:
December 4, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
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