Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606598 | Differential Geometry and its Applications | 2008 | 7 Pages |
Abstract
Let (Σ,j)(Σ,j) be a Riemann surface. The almost complex manifolds (M,J)(M,J) for which the J -holomorphic curves ϕ:Σ→Mϕ:Σ→M are of variational type, are characterized. This problem is related to the existence of a vertically non-degenerate closed complex 3-form on Σ×MΣ×M (see Theorem 4.3 below), which determines a family of J -symplectic structures on (M,J)(M,J) parametrized by Σ.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
R. Ferreiro Pérez, J. Muñoz Masqué,