Geodesic
Real hypersurfaces with an induced almost contact structure
Micha/l Szancer1 ; Zuzanna Szancer1
1 Instytut Matematyki UJ Reymonta 4 30-059 Krak/ow, Poland
Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 41-51.

Voir la notice de l'article provenant de 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 $\mathbb R^{2n+2}$.
DOI : 10.4064/cm114-1-5
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

Micha/l Szancer 1 ; Zuzanna Szancer 1

1 Instytut Matematyki UJ Reymonta 4 30-059 Krak/ow, Poland 
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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. http://geodesic.mathdoc.fr/articles/10.4064/cm114-1-5/

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