Microlocalization and nonexistence of $C^2$ Levi-flat hypersurfaces in $\Bbb CP^2
Jianguo Cao, Mei-Chi Shaw
TL;DR
This paper addresses the nonexistence of certain smooth Levi-flat hypersurfaces in complex projective plane, but was withdrawn due to an error in the proof.
Contribution
The paper aimed to prove the nonexistence of $C^2$ Levi-flat hypersurfaces in $ ext{CP}^2$, contributing to complex geometry and foliation theory.
Findings
The paper was withdrawn due to a missing complex conjugate sign in key equation.
The authors acknowledged the error pointed out by Marco Brunella.
No definitive results were published due to the withdrawal.
Abstract
To be prudent, the paper has been withdrawn by the authors, due an error (missing complex conjugate sign) in Equation (2.5). We are very grateful to Marco Brunella for pointed out the error.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Waves and Solitons · Algebraic and Geometric Analysis