Hypersurfaces with almost complex structures in the real affine space
Volume 108 / 2007
Colloquium Mathematicum 108 (2007), 329-338
MSC: 53A15, 53C26.
DOI: 10.4064/cm108-2-14
Abstract
We study affine hypersurface immersions $f: M \rightarrow {\mathbb R}^{2n+1}$, where $M$ is an almost complex $n$-dimensional manifold. The main purpose is to give a condition for ($M,J$) to be a special Kähler manifold with respect to the Levi-Civita connection of an affine fundamental form.
