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

S. G. Dani
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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 get also new examples of compact manifolds covered by two-step simply connected Lie groups, which do not admit Anosov automorphisms.

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S. G. Dani. 2002-04-29. Some two-step and three-step nilpotent Lie groups with small automorphism groups. https://arxiv.org/abs/math/0204344

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