Chow's theorem for real analytic Levi-flat hypersurfaces
نویسندگان
چکیده
In this article we provide a version of Chow's theorem for real analytic Levi-flat hypersurfaces in the complex projective space Pn, n≥2. More specifically, prove that hypersurface M⊂Pn, with singular set dimension at most 2n−4 and whose Levi leaves are contained algebraic hypersurfaces, is tangent to levels rational function Pn. As consequence, M semialgebraic set. We also foliation on Pn — immersed manifolds codimension one satisfying similar conditions all defined by level sets function.
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ژورنال
عنوان ژورنال: Bulletin Des Sciences Mathematiques
سال: 2022
ISSN: ['0007-4497', '1952-4773']
DOI: https://doi.org/10.1016/j.bulsci.2022.103169