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- W4382406183 abstract "Let L be a hypothetical smooth Levi flat hypersurface in CP2 and r the signed distance to L by means of the Fubini-Study metric g. Denote Lru = cru the second order elliptic equation for the infinitesimal Levi-flat deformations of L, where cr = dbJbr + br ∧ Jbr, br = ιXrdγr, Xr = gradgr/ ∥gradgr∥2 g, γr is the restriction of dcr to L and db is the differentiation along the leafs of the Levi foliation. Then −cr ≥ H as leaf-wise (1, 1)-forms, where H is the holomorphic bisectional curvature of CP2. We give also an example of a Levi-flat manifold L of dimension 3 verifying that there exists a (1, 0)-form α on L such that ∂α is a K¨ahler form on every leaf of the Levi foliation, but L is not embeddable in CP2." @default.
- W4382406183 created "2023-06-29" @default.
- W4382406183 creator A5064611456 @default.
- W4382406183 date "2023-01-01" @default.
- W4382406183 modified "2023-10-07" @default.
- W4382406183 title "ON THE EMBEDDING OF LEVI-FLAT HYPERSURFACES IN THE COMPLEX PROJECTIVE PLANE (AND AN APPENDIX WITH L´ASZL´O LEMPERT)" @default.
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- W4382406183 doi "https://doi.org/10.59277/rrmpa.2023.95.114" @default.
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