# On the Cartan-Norden theorem for affine Kähler immersions

Annales Polonici Mathematici (2000)

- Volume: 75, Issue: 1, page 69-77
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

topRobaszewska, Maria. "On the Cartan-Norden theorem for affine Kähler immersions." Annales Polonici Mathematici 75.1 (2000): 69-77. <http://eudml.org/doc/208385>.

@article{Robaszewska2000,

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.},

author = {Robaszewska, Maria},

journal = {Annales Polonici Mathematici},

keywords = {Kählerian manifold; affine immersion; affine immersions},

language = {eng},

number = {1},

pages = {69-77},

title = {On the Cartan-Norden theorem for affine Kähler immersions},

url = {http://eudml.org/doc/208385},

volume = {75},

year = {2000},

}

TY - JOUR

AU - Robaszewska, Maria

TI - On the Cartan-Norden theorem for affine Kähler immersions

JO - Annales Polonici Mathematici

PY - 2000

VL - 75

IS - 1

SP - 69

EP - 77

AB - 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.

LA - eng

KW - Kählerian manifold; affine immersion; affine immersions

UR - http://eudml.org/doc/208385

ER -

## References

top- [NPP] K. Nomizu, U. Pinkall and F. Podesta, On the geometry of affine Kähler immersions, Nagoya Math. J. 120 (1990), 205-222. Zbl0701.53038
- [NP] K. Nomizu and F. Podesta, On the Cartan-Norden theorem for affine Kähler immersions, Nagoya Math. J. 121 (1991), 127-135. Zbl0719.53029
- [O1] B. Opozda, On some properties of the curvature and Ricci tensors in complex affine geometry, Geom. Dedicata 55 (1995), 141-163. Zbl0840.53009
- [O2] B. Opozda, On the Cartan-Norden theorem, Math. Z. 226 (1997), 309-316. Zbl0973.53510

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.