Geodesic
Real hypersurfaces with parallel induced almost contact structures
Zuzanna Szancer1
1 Department of Applied Mathematics University of Agriculture in Kraków 253c Balicka St. 30-198 Kraków, Poland
Annales Polonici Mathematici, Tome 104 (2012) no. 2, pp. 203-215.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 hypersurfaces with $\varphi$ or $\eta$ parallel relative to an induced connection are proved. Also a local characterization of these hypersurfaces is given.
DOI : 10.4064/ap104-2-7
Keywords: real affine hypersurfaces complex space mathbb j tangent transversal vector field induced almost contact structure varphi eta studied properties hypersurfaces varphi eta parallel relative induced connection proved local characterization these hypersurfaces given

Zuzanna Szancer 1

1 Department of Applied Mathematics University of Agriculture in Kraków 253c Balicka St. 30-198 Kraków, Poland 
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Zuzanna Szancer. Real hypersurfaces with
  parallel induced almost contact structures. Annales Polonici Mathematici, Tome 104 (2012) no. 2, pp. 203-215. doi : 10.4064/ap104-2-7. http://geodesic.mathdoc.fr/articles/10.4064/ap104-2-7/

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