nilmanifold

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noun

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.

Scrabble 17
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Meanings

nounnilmanifold (plural nilmanifolds)

plural nilmanifolds

  1. mathematicsA 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.

Origin

From nil + manifold, after nilpotent.

Full word history & related roots →
Cite this entry
APA

nilmanifold. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/nilmanifold

MLA

“nilmanifold.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/nilmanifold. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “nilmanifold,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/nilmanifold.

Source: nilmanifold on Wiktionary, CC BY-SA 4.0.