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- W2896543009 abstract "In order to study the deformations of foliations of codimension 1 of a smooth manifold L, de Bartolomeis and Iordan defined the DGLA $$ mathcal {Z}^{*}left( Lright) $$ , where $$mathcal {Z}^{*}left( Lright) $$ is a subset of differential forms on L. In another paper, de Bartolomeis and Iordan studied the deformations of foliations of a smooth manifold L by defining the canonical solutions of Maurer–Cartan equation in the DGLA of graded derivations $$mathcal {D}^{*}left( Lright) $$ . Let L be a Levi flat hypersurface in a complex manifold. Then the deformation theories in $$mathcal {Z}^{*}left( Lright) $$ and $$mathcal {D }^{*}left( Lright) $$ lead to the moduli space for the Levi flat deformations of L. In this paper we discuss the relationship between the infinitesimal deformations of L defined by the solutions of Maurer–Cartan equation in $$mathcal {Z}^{*}left( Lright) $$ and the infinitesimal deformations of L obtained by means of the canonical solutions of Maurer–Cartan equation in the DGLA of graded derivations $$mathcal {D}^{*}left( Lright) $$ ." @default.
- W2896543009 created "2018-10-26" @default.
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- W2896543009 date "2018-10-10" @default.
- W2896543009 modified "2023-10-12" @default.
- W2896543009 title "Infinitesimal deformations of Levi flat hypersurfaces" @default.
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- W2896543009 doi "https://doi.org/10.1007/s40574-018-0176-y" @default.
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