On some properties of induced almost contact structures
Tom 113 / 2015
Annales Polonici Mathematici 113 (2015), 81-92
MSC: 53A15, 53D15.
DOI: 10.4064/ap113-1-5
Streszczenie
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.
