Abstract
In his [9–11], the first author shows that the sheaf-theoreti-cally based Abstract Differential Geometry incorporates and generalizes classical differential geometry. Here, we undertake to explore the implications of Abstract Differential Geometry to classical symplectic geometry. The full investigation will be presented elsewhere.
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Mallios, A., Ntumba, P.P. Fundamentals for symplectic \( \mathcal{A} \)-modules. Affine Darboux theorem. Rend. Circ. Mat. Palermo 58, 169–198 (2009). https://doi.org/10.1007/s12215-009-0015-1
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DOI: https://doi.org/10.1007/s12215-009-0015-1
Keywords
- \({\cal A}\)-module
- Vector sheaf
- Ordered ℝ-algebraized space
- Symplectic \({\cal A}\)-structure
- Symplectic group sheaf
- Affine Darboux theorem