An existence theorem for stationary discs ...
Document type :
Pré-publication ou Document de travail
Title :
An existence theorem for stationary discs in almost complex manifolds
Author(s) :
HAL domain(s) :
Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Géométrie symplectique [math.SG]
Mathématiques [math]/Géométrie symplectique [math.SG]
English abstract : [en]
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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Comment :
18 pages
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