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On the Cartan-Norden theorem for affine Kähler immersions

Volume 75 / 2000

Maria Robaszewska 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.

Authors

  • Maria Robaszewska

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