Corpus ID: 238583694

On five-dimensional contact solvmanifolds

  title={On five-dimensional contact solvmanifolds},
  author={Christopher D. Bock},
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


On Low-Dimensional Solvmanifolds
A nilmanifold resp. solvmanifold is a compact homogeneous space of a connected and simply-connected nilpotent resp. solvable Lie group by a lattice, i.e. a discrete co-compact subgroup. There is anExpand
Existence and classification of overtwisted contact structures in all dimensions
We establish a parametric extension h-principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the 3-dimensional result from [12]. ItExpand
Bock : On low - dimensional solvmanifolds
  • Asian J . Math .
  • 2016
An Introduction to Contact Geometry, Cambridge University
  • Christoph Bock Department Mathematik Universität Erlangen-Nürnberg Cauerstraße
  • 2008