no. 5
On the real analytic Levi flat hypersurfaces in complex tori of dimension two
[Sur les hypersurfaces analytiques réelles Levi-plates des tores complexes de dimension 2]
Matsumoto, Kazuko1 ; Ohsawa, Takeo2
1 Osaka Women's University, Department of Applied Mathematics, Daisen-cho, Sakai 590-0035 (Japon)
2 Nagoya University, Graduate School of Mathematics, Chikusa-ku, Nagoya 464-8602 (Japon)
Annales de l'Institut Fourier, Tome 52 (2002) no. 5, pp. 1525-1532.

Nous calculons la forme de Levi du logarithme de la fonction de distance pour les hypersurfaces réelles dans un tore complexe de dimension 2 et discutons de la caractérisation des hypersurfaces Levi-plates.

We compute the Levi form of the logarithm of the distance function for real hypersurfaces in two dimensional complex tori, and discuss the characterization of Levi flat hypersurfaces there.

DOI : 10.5802/aif.1923
Classification : 32V40
Keywords: Levi flat, complex torus
Mot clés : Levi-plat, tore complexe
Matsumoto, Kazuko 1 ; Ohsawa, Takeo 2

1 Osaka Women's University, Department of Applied Mathematics, Daisen-cho, Sakai 590-0035 (Japon)
2 Nagoya University, Graduate School of Mathematics, Chikusa-ku, Nagoya 464-8602 (Japon) 
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     title = {On the real analytic {Levi} flat hypersurfaces in complex tori of dimension two},
     journal = {Annales de l'Institut Fourier},
     pages = {1525--1532},
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Matsumoto, Kazuko; Ohsawa, Takeo. On the real analytic Levi flat hypersurfaces in complex tori of dimension two. Annales de l'Institut Fourier, Tome 52 (2002) no. 5, pp. 1525-1532. doi : 10.5802/aif.1923. http://www.numdam.org/articles/10.5802/aif.1923/

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