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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 the induced almost contact structures are proved. In particular, we prove some properties of the induced structure when the distribution is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or ξ-invariant are also given.
Zuzanna Szancer. "On some properties of induced almost contact structures." Annales Polonici Mathematici 113.1 (2015): 81-92. <http://eudml.org/doc/280186>.
@article{ZuzannaSzancer2015, 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 the induced almost contact structures are proved. In particular, we prove some properties of the induced structure when the distribution is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or ξ-invariant are also given.}, author = {Zuzanna Szancer}, journal = {Annales Polonici Mathematici}, keywords = {affine hypersurface; almost contact structure}, language = {eng}, number = {1}, pages = {81-92}, title = {On some properties of induced almost contact structures}, url = {http://eudml.org/doc/280186}, volume = {113}, year = {2015}, }
TY - JOUR AU - Zuzanna Szancer TI - On some properties of induced almost contact structures JO - Annales Polonici Mathematici PY - 2015 VL - 113 IS - 1 SP - 81 EP - 92 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 the induced almost contact structures are proved. In particular, we prove some properties of the induced structure when the distribution is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or ξ-invariant are also given. LA - eng KW - affine hypersurface; almost contact structure UR - http://eudml.org/doc/280186 ER -