Intrinsic deformation theory of CR structures. (English) Zbl 1206.32015

De Bartolomeis, Paolo; Meylan, Francine

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 9, No. 3, 459-494 (2010).

Authors’ abstract: Let \((V, \xi)\) be a contact manifold and let \(J\) be a strictly pseudoconvex CR-structure of hypersurface type on \((V, \xi)\); starting only from these data, we define and we investigate a differential graded Lie algebra which governs the deformation theory of \(J\).

Reviewer: Emil J. Straube (College Station)

MSC:

32V05	CR structures, CR operators, and generalizations
17B70	Graded Lie (super)algebras

Keywords:

contact manifolds; strictly pseudoconvex CR-structures; hypersurface type; differential graded Lie algebras; deformation theory