Real hypersurfaces with an induced almost
contact structure
Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 41-51
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We study real affine hypersurfaces $f\colon M\rightarrow\mathbb C^{n+1}$
with an almost contact structure $(\varphi,\xi,\eta)$ induced by any
$J$-tangent transversal vector field. The main purpose of this paper is to show
that if $(\varphi,\xi,\eta)$ is metric relative to the second fundamental form
then it is Sasakian and moreover $f(M)$ is a piece of
a hyperquadric in $\mathbb R^{2n+2}$.
Keywords:
study real affine hypersurfaces colon rightarrow mathbb almost contact structure varphi eta induced j tangent transversal vector field main purpose paper varphi eta metric relative second fundamental form sasakian moreover piece hyperquadric mathbb
Affiliations des auteurs :
Micha/l Szancer 1 ; Zuzanna Szancer 1
@article{10_4064_cm114_1_5,
author = {Micha/l Szancer and Zuzanna Szancer},
title = {Real hypersurfaces with an induced almost
contact structure},
journal = {Colloquium Mathematicum},
pages = {41--51},
year = {2009},
volume = {114},
number = {1},
doi = {10.4064/cm114-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm114-1-5/}
}
TY - JOUR AU - Micha/l Szancer AU - Zuzanna Szancer TI - Real hypersurfaces with an induced almost contact structure JO - Colloquium Mathematicum PY - 2009 SP - 41 EP - 51 VL - 114 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/cm114-1-5/ DO - 10.4064/cm114-1-5 LA - en ID - 10_4064_cm114_1_5 ER -
Micha/l Szancer; Zuzanna Szancer. Real hypersurfaces with an induced almost contact structure. Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 41-51. doi: 10.4064/cm114-1-5
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