Corpus ID: 238583694

On five-dimensional contact solvmanifolds

@inproceedings{Bock2021OnFC,
  title={On five-dimensional contact solvmanifolds},
  author={Christopher D. Bock},
  year={2021}
}
Every five-dimensional solvmanifold that cannot be written as a quotient of G5.2 by a lattice is contact. Throughout this note a manifold is assumed to be smooth, connected, oriented and to have no boundary. A contact manifold is a pair (M, ξ), where M is a (2n+1)-manifold, n ∈ N, and ξ can be locally written as ξ = kerα, where α ∈ Ω(M) is a differential 1form with αp ∧ (dα) n p 6= 0 for all p ∈ M . This implies that the structure group of the tangent bundle of M reduces to {1} × U(n), see [3… Expand

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