Sasakian Nilmanifolds

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 09 Sep 2014Embargo end date: 01 Jan 2014 Italy, Portugal, Italy English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,015, pages 6,648-6,660 (issn: 1073-7928, eissn: 1687-0247,

Copyright policy )Funded by:FCT | Strategic Project - UI 32...

Authors: CAPPELLETTI MONTANO, BENIAMINO; De Nicola, A; Marrero, JC; Yudin, I.;

doi: 10.1093/imrn/rnu144 , 10.48550/arxiv.1404.0315

arXiv: 1404.0315

handle: 10316/47659 , 11386/4681211 , 11584/110541

Sasakian Nilmanifolds

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Abstract

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.

9 pages, to appear in IMRN

Countries

Italy, Portugal, Italy

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Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), Sasakian manifolds; Nilmanifolds; Riemannian Geometry; Differential Geometry., FOS: Mathematics, 53C25, 53D35, 53C30, Algebraic Topology (math.AT), Mathematics - Algebraic Topology

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