Geodesic
On some properties of induced almost contact structures
Zuzanna Szancer1
1 Department of Applied Mathematics University of Agriculture in Krakow 253c Balicka Street 30-198 Kraków, Poland
Annales Polonici Mathematici, Tome 113 (2015) no. 1, pp. 81-92 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Real affine hypersurfaces of the complex space $\mathbb {C}^{n+1}$ with a $J$-tangent transversal vector field and an induced almost contact structure ${(\varphi ,\xi ,\eta )}$ 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 $\mathcal {D}$ is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or $\xi $-invariant are also given.
DOI : 10.4064/ap113-1-5
Keywords: real affine hypersurfaces complex space mathbb j tangent transversal vector field induced almost contact structure varphi eta studied properties induced almost contact structures proved particular prove properties induced structure distribution mathcal involutive constraints shape operator induced almost contact structure either normal invariant given

Zuzanna Szancer 1

1 Department of Applied Mathematics University of Agriculture in Krakow 253c Balicka Street 30-198 Kraków, Poland 
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Zuzanna Szancer. On some properties of induced almost contact structures. Annales Polonici Mathematici, Tome 113 (2015) no. 1, pp. 81-92. doi: 10.4064/ap113-1-5

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