Real hypersurfaces with an induced almost contact structure

Michał Szancer, and Zuzanna Szancer. "Real hypersurfaces with an induced almost contact structure." Colloquium Mathematicae 114.1 (2009): 41-51. <http://eudml.org/doc/284205>.

@article{MichałSzancer2009,
abstract = {We study real affine hypersurfaces $f: M → ℂ^\{n+1\}$ with an almost contact structure (φ,ξ,η) induced by any J-tangent transversal vector field. The main purpose of this paper is to show that if (φ,ξ,η) is metric relative to the second fundamental form then it is Sasakian and moreover f(M) is a piece of a hyperquadric in $ℝ^\{2n+2\}$.},
author = {Michał Szancer, Zuzanna Szancer},
journal = {Colloquium Mathematicae},
keywords = {affine hypersurface; almost contact structure; Sasakian structure; hyperquadric},
language = {eng},
number = {1},
pages = {41-51},
title = {Real hypersurfaces with an induced almost contact structure},
url = {http://eudml.org/doc/284205},
volume = {114},
year = {2009},
}

TY - JOUR
AU - Michał Szancer
AU - Zuzanna Szancer
TI - Real hypersurfaces with an induced almost contact structure
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 1
SP - 41
EP - 51
AB - We study real affine hypersurfaces $f: M → ℂ^{n+1}$ with an almost contact structure (φ,ξ,η) induced by any J-tangent transversal vector field. The main purpose of this paper is to show that if (φ,ξ,η) is metric relative to the second fundamental form then it is Sasakian and moreover f(M) is a piece of a hyperquadric in $ℝ^{2n+2}$.
LA - eng
KW - affine hypersurface; almost contact structure; Sasakian structure; hyperquadric
UR - http://eudml.org/doc/284205
ER -