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.
@article{bwmeta1.element.bwnjournal-article-apmv75z1p69bwm,
author = {Robaszewska, Maria},
title = {On the Cartan-Norden theorem for affine K\"ahler immersions},
journal = {Annales Polonici Mathematici},
volume = {75},
year = {2000},
pages = {69-77},
zbl = {1017.53055},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv75z1p69bwm}
}
Robaszewska, Maria. On the Cartan-Norden theorem for affine Kähler immersions. Annales Polonici Mathematici, Tome 75 (2000) pp. 69-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv75z1p69bwm/
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