Invariant contact structures on 7-dimensional nilmanifolds

2012/12/04 by Sergii Kutsak, Kutsak, Sergii · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.1212.0833

13 pages, no figures, Version 2, minor corrections

arxiv created 2012/12/12 · arxiv updated 2012/12/13

Abstract

In this paper we give the list of all 7-dimensional nilpotent real Lie algebras that admit a contact structure. Based on this list, we describe all 7-dimensional nilmanifolds that admit an invariant contact structure.

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• Examples of non-simply connected compact contact manifolds M such that M × S¹ cannot admit a symplectic structure

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