Characterisation of Branched Surfaces Fully Carrying a Lamination

  title={Characterisation of Branched Surfaces Fully Carrying a Lamination},
  author={Skander ZANNAD},
  • Skander ZANNAD
  • Published 2005
We give a necessary and sufficient condition for a branched surface in a closed orientable 3-manifold to fully carry a lamination. This answers D. Gabai’s problem 3.4 of [GO] (which is also problem 2.1 of [Ga]). The last part is devoted to contact structures carried by branched surfaces. An application of the result of the previous part is given.