An existence theorem for stationary discs in almost complex manifolds

Andrea Spiro; Alexandre Sukhov

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An existence theorem for stationary discs in almost complex manifolds

Andrea Spiro·Alexandre Sukhov

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Abstract

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.

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Andrea Spiro, Alexandre Sukhov. 2005-02-06. An existence theorem for stationary discs in almost complex manifolds. https://arxiv.org/abs/math/0502121

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