nilmanifold

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English[edit]

Etymology[edit]

nil +‎ manifold, after nilpotent

Noun[edit]

nilmanifold (plural nilmanifolds)

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  1. (mathematics) A quotient space of a nilpotent Lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent Lie group acting transitively on it.