Some two-step and three-step nilpotent Lie groups with small automorphism groups

Dani, S. G. (2002) Some two-step and three-step nilpotent Lie groups with small automorphism groups Transactions of the American Mathematical Society, 355 (4). pp. 1491-1503. ISSN 0002-9947

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Official URL: http://www.ams.org/journals/tran/2003-355-04/S0002...

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.

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
ID Code:74512
Deposited On:16 Dec 2011 09:25
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