Complete real Kähler Euclidean hypersurfaces are cylinders
[Toute hypersurface Euclidienne réelle Kahlerienne et complète est un cylindre]
Florit, Luis A. ; Zheng, Fangyang
Annales de l'Institut Fourier, Tome 57 (2007), p. 155-161 / Harvested from Numdam
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Dans cet article nous montrons que toute hypersurface Kählerienne complète immergée dans un espace Euclidien M 2n ⊂ℝ 2n+1 est le produit d’une surface de ℝ 3 et d’un facteur Euclidien ℂ n-1 ≅ℝ 2n-2 .

In this note we show that any complete Kähler (immersed) Euclidean hypersurface M 2n ⊂ℝ 2n+1 must be the product of a surface in ℝ 3 with an Euclidean factor ℂ n-1 ≅ℝ 2n-2 .

Publié le : 2007-01-01
DOI : https://doi.org/10.5802/aif.2254
Classification:  53C40,  53C55
Mots clés: Kähler hypersurface, cylindres, fendre 
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     author = {Florit, Luis A. and Zheng, Fangyang},
     title = {Complete real K\"ahler Euclidean hypersurfaces are cylinders},
     journal = {Annales de l'Institut Fourier},
     volume = {57},
     year = {2007},
     pages = {155-161},
     doi = {10.5802/aif.2254},
     zbl = {1119.53005},
     mrnumber = {2313088},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2007__57_1_155_0}
}

Florit, Luis A.; Zheng, Fangyang. Complete real Kähler Euclidean hypersurfaces are cylinders. Annales de l'Institut Fourier, Tome 57 (2007) pp. 155-161. doi : 10.5802/aif.2254. http://gdmltest.u-ga.fr/item/AIF_2007__57_1_155_0/

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