Geodesic
New aspects on CR-structures of codimension 2 on hypersurfaces of Sasakian manifolds
Archivum mathematicum, Tome 42 (2006) no. 1, pp. 69-84

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We introduce a torsion free linear connection on a hypersurface in a Sasakian manifold on which we have defined in natural way a $CR$-structure of $CR$-codimension 2. We study the curvature properties of this connection and we give some interesting examples.
Classification : 53C25, 53C40
Keywords: $CR-$structures; almost contact structures; $f$-structure with complemented frames 
@article{ARM_2006__42_1_a7,
     author = {Munteanu, Marian-Ioan},
     title = {New aspects on {CR-structures} of codimension 2 on hypersurfaces of {Sasakian} manifolds},
     journal = {Archivum mathematicum},
     pages = {69--84},
     publisher = {mathdoc},
     volume = {42},
     number = {1},
     year = {2006},
     mrnumber = {2227114},
     zbl = {1164.53355},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_1_a7/}
}
TY  - JOUR
AU  - Munteanu, Marian-Ioan
TI  - New aspects on CR-structures of codimension 2 on hypersurfaces of Sasakian manifolds
JO  - Archivum mathematicum
PY  - 2006
SP  - 69
EP  - 84
VL  - 42
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2006__42_1_a7/
LA  - en
ID  - ARM_2006__42_1_a7
ER  - 
%0 Journal Article
%A Munteanu, Marian-Ioan
%T New aspects on CR-structures of codimension 2 on hypersurfaces of Sasakian manifolds
%J Archivum mathematicum
%D 2006
%P 69-84
%V 42
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2006__42_1_a7/
%G en
%F ARM_2006__42_1_a7
Munteanu, Marian-Ioan. New aspects on CR-structures of codimension 2 on hypersurfaces of Sasakian manifolds. Archivum mathematicum, Tome 42 (2006) no. 1, pp. 69-84. http://geodesic.mathdoc.fr/item/ARM_2006__42_1_a7/