Abstract
Applying the $L^2$ method of solving the $\bar{\partial}$-equation, it is shown that compact K\"{a}hler manifolds of dimension $\geq 3$ admit no Levi flat real analytic hypersurfaces whose complements are Stein.
Citation
Takeo Ohsawa. "On the complement of Levi-flats in K\"{a}hler manifolds of dimension $\ge 3$." Nagoya Math. J. 185 161 - 169, 2007.
Information
Published: 2007
First available in Project Euclid: 23 March 2007
zbMATH: 1141.32015
MathSciNet: MR2301464
Subjects:
Primary:
32V40
Secondary:
53C40
Rights: Copyright © 2007 Editorial Board, Nagoya Mathematical Journal