Real hypersurfaces with an induced almost contact structure
Volume 114 / 2009
Colloquium Mathematicum 114 (2009), 41-51
MSC: 53A15, 53D15.
DOI: 10.4064/cm114-1-5
Abstract
We study real affine hypersurfaces with an almost contact structure (\varphi,\xi,\eta) induced by any J-tangent transversal vector field. The main purpose of this paper is to show that if (\varphi,\xi,\eta) is metric relative to the second fundamental form then it is Sasakian and moreover f(M) is a piece of a hyperquadric in \mathbb R^{2n+2}.
