Boundary value problems and J-complex curves
A. Sukhov, A. Tumanov
TL;DR
This paper addresses the problem of filling certain totally real tori in complex space with Levi-flat hypersurfaces, providing solutions within a specific almost complex structure.
Contribution
It introduces a method for filling totally real tori with Levi-flat hypersurfaces in a particular almost complex setting, advancing understanding of complex geometric structures.
Findings
Successfully filled a class of totally real tori with Levi-flat hypersurfaces
Extended the theory of Levi-flat hypersurfaces in almost complex manifolds
Provided new techniques for boundary value problems in complex geometry
Abstract
We give a solution to the problem of filling by a Levi-flat hypersurface for a class of totally real tori in C^2 equipped with a certain almost complex structure.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Mathematical Dynamics and Fractals