Publishing house / Journals and Serials / Annales Polonici Mathematici / All issues

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 the induced almost contact structures are proved. In particular, we prove some properties of the induced structure when the distribution $\mathcal {D}$ is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or $\xi $-invariant are also given.