nilmanifold


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nilmanifold

[¦nil′man·ə‚fōld]
(mathematics)
The factor space of a connected nilpotent Lie group by a closed subgroup.
References in periodicals archive ?
In particular, it was shown that for any n [greater than or equal to] 5, there is a compact nilmanifold of dimension n such that every homeomorphism is isotopic to a fixed point free homeomorphism.
A striking example is the role of dynamics on nilmanifolds in the recent proof of Hardy-Littlewood estimates for the number of solutions to systems of linear equations of finite complexity in the prime numbers.