Almost complex structures and calibrated integral cycles in contact 5-manifolds

Costante Bellettini

Almost complex structures and calibrated integral cycles in contact 5-manifolds

Analysis of PDEs 2009-12-21 v1 Symplectic Geometry

Authors: Costante Bellettini

Abstract

In a contact manifold (M^5, alpha), we consider almost complex structures J which satisfy, for any vector v in the horizontal distribution, d alpha (v,Jv) = 0. We prove that integral cycles whose approximate tangent planes have the property of being J-invariant are in fact smooth Legendrian curves except possibly at isolated points and we investigate how such structures J are related to calibrations.

Keywords

almost contact manifolds contact geometry

Cite

@article{arxiv.0912.3640,
  title  = {Almost complex structures and calibrated integral cycles in contact 5-manifolds},
  author = {Costante Bellettini},
  journal= {arXiv preprint arXiv:0912.3640},
  year   = {2009}
}

Comments

35 pages

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