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.
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.
Keywords: Levi flat, complex torus
Mot clés : Levi-plat, tore complexe
@article{AIF_2002__52_5_1525_0, author = {Matsumoto, Kazuko and Ohsawa, Takeo}, title = {On the real analytic {Levi} flat hypersurfaces in complex tori of dimension two}, journal = {Annales de l'Institut Fourier}, pages = {1525--1532}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {52}, number = {5}, year = {2002}, doi = {10.5802/aif.1923}, zbl = {1031.32030}, mrnumber = {1935555}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1923/} }
TY - JOUR AU - Matsumoto, Kazuko AU - Ohsawa, Takeo TI - On the real analytic Levi flat hypersurfaces in complex tori of dimension two JO - Annales de l'Institut Fourier PY - 2002 SP - 1525 EP - 1532 VL - 52 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1923/ DO - 10.5802/aif.1923 LA - en ID - AIF_2002__52_5_1525_0 ER -
%0 Journal Article %A Matsumoto, Kazuko %A Ohsawa, Takeo %T On the real analytic Levi flat hypersurfaces in complex tori of dimension two %J Annales de l'Institut Fourier %D 2002 %P 1525-1532 %V 52 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1923/ %R 10.5802/aif.1923 %G en %F AIF_2002__52_5_1525_0
Matsumoto, Kazuko; Ohsawa, Takeo. On the real analytic Levi flat hypersurfaces in complex tori of dimension two. Annales de l'Institut Fourier, Volume 52 (2002) no. 5, pp. 1525-1532. doi : 10.5802/aif.1923. https://aif.centre-mersenne.org/articles/10.5802/aif.1923/
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