no. 3
Intrinsic deformation theory of CR structures
De Bartolomeis, Paolo1  ; Meylan, Francine2
1 Institut de Mathématiques, Université de Fribourg, 1700 Perolles, Fribourg, Switzerland
2 Dipartimento di Matematica Applicata “G. Sansone”, Università degli Studi di Firenze, Via S. Marta, 3, 50139 Firenze, Italia
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 3, pp. 459-494

Let (V,ξ) be a contact manifold and let J be a strictly pseudoconvex CR structure of hypersurface type on (V,ξ); starting only from these data, we define and we investigate a Differential Graded Lie Algebra which governs the deformation theory of J.

Classification : 32H02, 32H35

De Bartolomeis, Paolo 1 ; Meylan, Francine 2

1 Institut de Mathématiques, Université de Fribourg, 1700 Perolles, Fribourg, Switzerland
2 Dipartimento di Matematica Applicata “G. Sansone”, Università degli Studi di Firenze, Via S. Marta, 3, 50139 Firenze, Italia 
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     pages = {459--494},
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     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 9},
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De Bartolomeis, Paolo; Meylan, Francine. Intrinsic deformation theory of $CR$ structures. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 3, pp. 459-494. https://www.numdam.org/item/ASNSP_2010_5_9_3_459_0/

[1] L. Boutet De Monvel, Integration des equations de Cauchy-Riemann induites formelles, Seminaire Goulaic-Lions-Schwartz 1974-75, Centre Math. Ecole Polytechnique, Paris, 1975. | MR | EuDML | Zbl

[2] P. De Bartolomeis “Symplectic and Holomorphic Theory in Kähler Geometry”, XIII Escola de geometria diferencial, Sao Paulo, 2004.

[3] P. De Bartolomeis, Symplectic deformations of Kähler manifolds, J. Symplectic Geom. 3 (2005), 341–355. | MR | Zbl

[4] K. Kodaira and J. Morrow, “Complex Manifolds”, Holt, Rinehart and Winston, Inc., 1971. | MR | Zbl

[5] D. Mcduff and D. Salamon, “Introduction to Symplectic Topology”, Clarendon Press, Oxford, 1995. | MR | Zbl

[6] S. M. Webster, On the mapping problem for algebraic real hypersurfaces, Invent. Math. 43 (1977), 53–68. | MR | EuDML | Zbl