We study affine hypersurface immersions , 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-14, author = {Mayuko Kon}, title = {Hypersurfaces with almost complex structures in the real affine space}, journal = {Colloquium Mathematicae}, volume = {107}, year = {2007}, pages = {329-338}, zbl = {1121.53009}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-14} }
Mayuko Kon. Hypersurfaces with almost complex structures in the real affine space. Colloquium Mathematicae, Tome 107 (2007) pp. 329-338. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-14/