Geodesic
Real hypersurfaces with parallel induced almost contact structures
Zuzanna Szancer1
1Department 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
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_ap104_2_7,
     author = {Zuzanna Szancer},
     title = {Real hypersurfaces with
  parallel induced almost contact structures},
     journal = {Annales Polonici Mathematici},
     pages = {203--215},
     year = {2012},
     volume = {104},
     number = {2},
     doi = {10.4064/ap104-2-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap104-2-7/}
}
TY  - JOUR
AU  - Zuzanna Szancer
TI  - Real hypersurfaces with
  parallel induced almost contact structures
JO  - Annales Polonici Mathematici
PY  - 2012
SP  - 203
EP  - 215
VL  - 104
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap104-2-7/
DO  - 10.4064/ap104-2-7
LA  - en
ID  - 10_4064_ap104_2_7
ER  - 
%0 Journal Article
%A Zuzanna Szancer
%T Real hypersurfaces with
  parallel induced almost contact structures
%J Annales Polonici Mathematici
%D 2012
%P 203-215
%V 104
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap104-2-7/
%R 10.4064/ap104-2-7
%G en
%F 10_4064_ap104_2_7
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

Cité par Sources :