Real hypersurfaces with an induced almost contact structure

Michał Szancer; Zuzanna Szancer

Colloquium Mathematicae, Tome 116 (2009), p. 41-51 / Harvested from The Polish Digital Mathematics Library

Résumé

We study real affine hypersurfaces $f : M \to ℂ^{n + 1}$ 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 $ℝ^{2 n + 2}$ .

Publié le : 2009-01-01

Zbl 1160.53311

EUDML-ID : urn:eudml:doc:284205

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     title = {Real hypersurfaces with an induced almost contact structure},
     journal = {Colloquium Mathematicae},
     volume = {116},
     year = {2009},
     pages = {41-51},
     zbl = {1160.53311},
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Michał Szancer; Zuzanna Szancer. Real hypersurfaces with an induced almost contact structure. Colloquium Mathematicae, Tome 116 (2009) pp. 41-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-1-5/