Real affine hypersurfaces of the complex space with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) 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 is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or ξ-invariant are also given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap113-1-5,
author = {Zuzanna Szancer},
title = {On some properties of induced almost contact structures},
journal = {Annales Polonici Mathematici},
volume = {113},
year = {2015},
pages = {81-92},
zbl = {1309.53021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap113-1-5}
}
Zuzanna Szancer. On some properties of induced almost contact structures. Annales Polonici Mathematici, Tome 113 (2015) pp. 81-92. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap113-1-5/