On some properties of induced almost contact structures

Zuzanna Szancer. "On some properties of induced almost contact structures." Annales Polonici Mathematici 113.1 (2015): 81-92. <http://eudml.org/doc/280186>.

@article{ZuzannaSzancer2015,
abstract = {Real affine hypersurfaces of the complex space $ℂ^\{n+1\}$ 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.},
author = {Zuzanna Szancer},
journal = {Annales Polonici Mathematici},
keywords = {affine hypersurface; almost contact structure},
language = {eng},
number = {1},
pages = {81-92},
title = {On some properties of induced almost contact structures},
url = {http://eudml.org/doc/280186},
volume = {113},
year = {2015},
}

TY - JOUR
AU - Zuzanna Szancer
TI - On some properties of induced almost contact structures
JO - Annales Polonici Mathematici
PY - 2015
VL - 113
IS - 1
SP - 81
EP - 92
AB - Real affine hypersurfaces of the complex space $ℂ^{n+1}$ 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.
LA - eng
KW - affine hypersurface; almost contact structure
UR - http://eudml.org/doc/280186
ER -