On the Cartan-Norden theorem for affine Kähler immersions
Volume 75 / 2000
Annales Polonici Mathematici 75 (2000), 69-77
DOI: 10.4064/ap-75-1-69-77
Abstract
In [O2] the Cartan-Norden theorem for real affine immersions was proved without the non-degeneracy assumption. A similar reasoning applies to the case of affine Kähler immersions with an anti-complex shape operator, which allows us to weaken the assumptions of the theorem given in [NP]. We need only require the immersion to have a non-vanishing type number everywhere on M.