An existence theorem for stationary discs in almost complex manifolds

Andrea Spiro , Alexandre Sukhov (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

An existence theorem for stationary discs of strongly pseudoconvex domains in almost complex manifolds is proved. More precisely, it is shown that, for all points of a suitable neighborhood of the boundary and for any vector belonging to certain open subsets of the tangent spaces there exists a unique stationary disc passing through that point and tangent to the given vector.

Domaines: Variables complexes [math.CV]; Géométrie symplectique [math.SG]

Andrea Spiro, Alexandre Sukhov. An existence theorem for stationary discs in almost complex manifolds. 2005. ⟨hal-00120700⟩