Real hypersurfaces with parallel induced almost contact structures
Volume 104 / 2012
Annales Polonici Mathematici 104 (2012), 203-215
MSC: 53A15, 53D15.
DOI: 10.4064/ap104-2-7
Abstract
Real affine hypersurfaces of the complex space $\mathbb{C}^{n+1}$ with a $J$-tangent transversal vector field and an induced almost contact structure $(\varphi,\xi,\eta)$ are studied. Some properties of hypersurfaces with $\varphi$ or $\eta$ parallel relative to an induced connection are proved. Also a local characterization of these hypersurfaces is given.
