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arxiv: 1404.0315 · v4 · pith:5K3X7PX3new · submitted 2014-04-01 · 🧮 math.DG · math.AT

Sasakian nilmanifolds

classification 🧮 math.DG math.AT
keywords compactsasakianadmitsco-compactdimensiondiscretegeneralizedgroup
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We prove that a compact nilmanifold admits a Sasakian structure if and only if it is a compact quotient of the generalized Heisenberg group of odd dimension by a co-compact discrete subgroup.

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