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Real affine hypersurfaces of the complex space with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) are studied. Some properties of hypersurfaces with φ or η parallel relative to an induced connection are proved. Also a local characterization of these hypersurfaces is given.
Zuzanna Szancer. "Real hypersurfaces with parallel induced almost contact structures." Annales Polonici Mathematici 104.2 (2012): 203-215. <http://eudml.org/doc/280211>.
@article{ZuzannaSzancer2012, abstract = {Real affine hypersurfaces of the complex space $ℂ^\{n+1\}$ with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) are studied. Some properties of hypersurfaces with φ or η parallel relative to an induced connection are proved. Also a local characterization of these hypersurfaces is given.}, author = {Zuzanna Szancer}, journal = {Annales Polonici Mathematici}, keywords = {affine hypersurface; almost contact structure; parallel structure}, language = {eng}, number = {2}, pages = {203-215}, title = {Real hypersurfaces with parallel induced almost contact structures}, url = {http://eudml.org/doc/280211}, volume = {104}, year = {2012}, }
TY - JOUR AU - Zuzanna Szancer TI - Real hypersurfaces with parallel induced almost contact structures JO - Annales Polonici Mathematici PY - 2012 VL - 104 IS - 2 SP - 203 EP - 215 AB - Real affine hypersurfaces of the complex space $ℂ^{n+1}$ with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) are studied. Some properties of hypersurfaces with φ or η parallel relative to an induced connection are proved. Also a local characterization of these hypersurfaces is given. LA - eng KW - affine hypersurface; almost contact structure; parallel structure UR - http://eudml.org/doc/280211 ER -