English

Contact hypersurfaces in Kaehler manifolds

Differential Geometry 2013-12-11 v1

Abstract

A contact hypersurface in a Kaehler manifold is a real hypersurface for which the induced almost contact metric structure determines a contact structure. We carry out a systematic study of contact hypersurfaces in Kaehler manifolds. We then apply these general results to obtain classifications of contact hypersurfaces with constant mean curvature in the complex quadric SO(n+2)/SO(n)SO(2) and its noncompact dual space SO(n,2)/SO(n)SO(2) for n > 2.

Keywords

Cite

@article{arxiv.1312.2725,
  title  = {Contact hypersurfaces in Kaehler manifolds},
  author = {Jurgen Berndt and Young Jin Suh},
  journal= {arXiv preprint arXiv:1312.2725},
  year   = {2013}
}

Comments

12 pages

R2 v1 2026-06-22T02:24:26.039Z